53.209.728: 计算该数的所有除数和素因数

数字 53.209.728 的所有除数 53.209.728

1. 将数字 53.209.728 分解为质因数：

一个数的素数分解： 找到相乘得到那个数的素数.

53.209.728 = 27 × 32 × 11 × 13 × 17 × 19
53.209.728 不是质数而是合数.

» 在线计算器. 数是素数还是合数？ 合数的素数分解

* 只能被 1 和自身整除的自然数称为素数. 一个素数正好有两个除数： 1 和这个数本身.
* 合数是一个自然数，它至少有一个除 1 和它自身之外的除数.


2. 乘以数字 53.209.728 的质因数

乘以这个数的素因数分解所涉及的素因数。 制作他们所有的独特组合——那些产生不同结果的组合.

还要考虑这些素数的指数.

还要将 1 添加到除数列表中。 所有数字都能被1整除.


下面列出了所有除数 - 按升序排列

除数名单:

既不是素数也不是合数 = 1
首要因素 = 2
首要因素 = 3
22 = 4
2 × 3 = 6
23 = 8
32 = 9
首要因素 = 11
22 × 3 = 12
首要因素 = 13
24 = 16
首要因素 = 17
2 × 32 = 18
首要因素 = 19
2 × 11 = 22
23 × 3 = 24
2 × 13 = 26
25 = 32
3 × 11 = 33
2 × 17 = 34
22 × 32 = 36
2 × 19 = 38
3 × 13 = 39
22 × 11 = 44
24 × 3 = 48
3 × 17 = 51
22 × 13 = 52
3 × 19 = 57
26 = 64
2 × 3 × 11 = 66
22 × 17 = 68
23 × 32 = 72
22 × 19 = 76
2 × 3 × 13 = 78
23 × 11 = 88
25 × 3 = 96
32 × 11 = 99
2 × 3 × 17 = 102
23 × 13 = 104
2 × 3 × 19 = 114
32 × 13 = 117
27 = 128
22 × 3 × 11 = 132
23 × 17 = 136
11 × 13 = 143
24 × 32 = 144
23 × 19 = 152
32 × 17 = 153
22 × 3 × 13 = 156
32 × 19 = 171
24 × 11 = 176
11 × 17 = 187
26 × 3 = 192
2 × 32 × 11 = 198
22 × 3 × 17 = 204
24 × 13 = 208
11 × 19 = 209
13 × 17 = 221
22 × 3 × 19 = 228
2 × 32 × 13 = 234
13 × 19 = 247
23 × 3 × 11 = 264
24 × 17 = 272
2 × 11 × 13 = 286
25 × 32 = 288
24 × 19 = 304
2 × 32 × 17 = 306
23 × 3 × 13 = 312
17 × 19 = 323
2 × 32 × 19 = 342
25 × 11 = 352
2 × 11 × 17 = 374
27 × 3 = 384
22 × 32 × 11 = 396
23 × 3 × 17 = 408
25 × 13 = 416
2 × 11 × 19 = 418
3 × 11 × 13 = 429
2 × 13 × 17 = 442
23 × 3 × 19 = 456
22 × 32 × 13 = 468
2 × 13 × 19 = 494
24 × 3 × 11 = 528
25 × 17 = 544
3 × 11 × 17 = 561
22 × 11 × 13 = 572
26 × 32 = 576
25 × 19 = 608
22 × 32 × 17 = 612
24 × 3 × 13 = 624
3 × 11 × 19 = 627
2 × 17 × 19 = 646
3 × 13 × 17 = 663
22 × 32 × 19 = 684
26 × 11 = 704
3 × 13 × 19 = 741
22 × 11 × 17 = 748
23 × 32 × 11 = 792
24 × 3 × 17 = 816
26 × 13 = 832
22 × 11 × 19 = 836
2 × 3 × 11 × 13 = 858
22 × 13 × 17 = 884
24 × 3 × 19 = 912
23 × 32 × 13 = 936
3 × 17 × 19 = 969
22 × 13 × 19 = 988
25 × 3 × 11 = 1.056
26 × 17 = 1.088
2 × 3 × 11 × 17 = 1.122
23 × 11 × 13 = 1.144
27 × 32 = 1.152
26 × 19 = 1.216
23 × 32 × 17 = 1.224
25 × 3 × 13 = 1.248
2 × 3 × 11 × 19 = 1.254
32 × 11 × 13 = 1.287
22 × 17 × 19 = 1.292
2 × 3 × 13 × 17 = 1.326
23 × 32 × 19 = 1.368
27 × 11 = 1.408
2 × 3 × 13 × 19 = 1.482
23 × 11 × 17 = 1.496
24 × 32 × 11 = 1.584
25 × 3 × 17 = 1.632
27 × 13 = 1.664
23 × 11 × 19 = 1.672
32 × 11 × 17 = 1.683
22 × 3 × 11 × 13 = 1.716
23 × 13 × 17 = 1.768
25 × 3 × 19 = 1.824
24 × 32 × 13 = 1.872
32 × 11 × 19 = 1.881
2 × 3 × 17 × 19 = 1.938
23 × 13 × 19 = 1.976
32 × 13 × 17 = 1.989
26 × 3 × 11 = 2.112
27 × 17 = 2.176
32 × 13 × 19 = 2.223
22 × 3 × 11 × 17 = 2.244
24 × 11 × 13 = 2.288
11 × 13 × 17 = 2.431
27 × 19 = 2.432
24 × 32 × 17 = 2.448
26 × 3 × 13 = 2.496
22 × 3 × 11 × 19 = 2.508
2 × 32 × 11 × 13 = 2.574
23 × 17 × 19 = 2.584
22 × 3 × 13 × 17 = 2.652
11 × 13 × 19 = 2.717
24 × 32 × 19 = 2.736
32 × 17 × 19 = 2.907
22 × 3 × 13 × 19 = 2.964
24 × 11 × 17 = 2.992
25 × 32 × 11 = 3.168
26 × 3 × 17 = 3.264
24 × 11 × 19 = 3.344
2 × 32 × 11 × 17 = 3.366
23 × 3 × 11 × 13 = 3.432
24 × 13 × 17 = 3.536
11 × 17 × 19 = 3.553
26 × 3 × 19 = 3.648
25 × 32 × 13 = 3.744
2 × 32 × 11 × 19 = 3.762
22 × 3 × 17 × 19 = 3.876
24 × 13 × 19 = 3.952
2 × 32 × 13 × 17 = 3.978
13 × 17 × 19 = 4.199
27 × 3 × 11 = 4.224
2 × 32 × 13 × 19 = 4.446
23 × 3 × 11 × 17 = 4.488
25 × 11 × 13 = 4.576
2 × 11 × 13 × 17 = 4.862
25 × 32 × 17 = 4.896
27 × 3 × 13 = 4.992
23 × 3 × 11 × 19 = 5.016
22 × 32 × 11 × 13 = 5.148
24 × 17 × 19 = 5.168
23 × 3 × 13 × 17 = 5.304
2 × 11 × 13 × 19 = 5.434
25 × 32 × 19 = 5.472
2 × 32 × 17 × 19 = 5.814
23 × 3 × 13 × 19 = 5.928
25 × 11 × 17 = 5.984
26 × 32 × 11 = 6.336
27 × 3 × 17 = 6.528
25 × 11 × 19 = 6.688
22 × 32 × 11 × 17 = 6.732
24 × 3 × 11 × 13 = 6.864
25 × 13 × 17 = 7.072
2 × 11 × 17 × 19 = 7.106
3 × 11 × 13 × 17 = 7.293
此列表在下面继续...

... 此列表从上面继续
27 × 3 × 19 = 7.296
26 × 32 × 13 = 7.488
22 × 32 × 11 × 19 = 7.524
23 × 3 × 17 × 19 = 7.752
25 × 13 × 19 = 7.904
22 × 32 × 13 × 17 = 7.956
3 × 11 × 13 × 19 = 8.151
2 × 13 × 17 × 19 = 8.398
22 × 32 × 13 × 19 = 8.892
24 × 3 × 11 × 17 = 8.976
26 × 11 × 13 = 9.152
22 × 11 × 13 × 17 = 9.724
26 × 32 × 17 = 9.792
24 × 3 × 11 × 19 = 10.032
23 × 32 × 11 × 13 = 10.296
25 × 17 × 19 = 10.336
24 × 3 × 13 × 17 = 10.608
3 × 11 × 17 × 19 = 10.659
22 × 11 × 13 × 19 = 10.868
26 × 32 × 19 = 10.944
22 × 32 × 17 × 19 = 11.628
24 × 3 × 13 × 19 = 11.856
26 × 11 × 17 = 11.968
3 × 13 × 17 × 19 = 12.597
27 × 32 × 11 = 12.672
26 × 11 × 19 = 13.376
23 × 32 × 11 × 17 = 13.464
25 × 3 × 11 × 13 = 13.728
26 × 13 × 17 = 14.144
22 × 11 × 17 × 19 = 14.212
2 × 3 × 11 × 13 × 17 = 14.586
27 × 32 × 13 = 14.976
23 × 32 × 11 × 19 = 15.048
24 × 3 × 17 × 19 = 15.504
26 × 13 × 19 = 15.808
23 × 32 × 13 × 17 = 15.912
2 × 3 × 11 × 13 × 19 = 16.302
22 × 13 × 17 × 19 = 16.796
23 × 32 × 13 × 19 = 17.784
25 × 3 × 11 × 17 = 17.952
27 × 11 × 13 = 18.304
23 × 11 × 13 × 17 = 19.448
27 × 32 × 17 = 19.584
25 × 3 × 11 × 19 = 20.064
24 × 32 × 11 × 13 = 20.592
26 × 17 × 19 = 20.672
25 × 3 × 13 × 17 = 21.216
2 × 3 × 11 × 17 × 19 = 21.318
23 × 11 × 13 × 19 = 21.736
32 × 11 × 13 × 17 = 21.879
27 × 32 × 19 = 21.888
23 × 32 × 17 × 19 = 23.256
25 × 3 × 13 × 19 = 23.712
27 × 11 × 17 = 23.936
32 × 11 × 13 × 19 = 24.453
2 × 3 × 13 × 17 × 19 = 25.194
27 × 11 × 19 = 26.752
24 × 32 × 11 × 17 = 26.928
26 × 3 × 11 × 13 = 27.456
27 × 13 × 17 = 28.288
23 × 11 × 17 × 19 = 28.424
22 × 3 × 11 × 13 × 17 = 29.172
24 × 32 × 11 × 19 = 30.096
25 × 3 × 17 × 19 = 31.008
27 × 13 × 19 = 31.616
24 × 32 × 13 × 17 = 31.824
32 × 11 × 17 × 19 = 31.977
22 × 3 × 11 × 13 × 19 = 32.604
23 × 13 × 17 × 19 = 33.592
24 × 32 × 13 × 19 = 35.568
26 × 3 × 11 × 17 = 35.904
32 × 13 × 17 × 19 = 37.791
24 × 11 × 13 × 17 = 38.896
26 × 3 × 11 × 19 = 40.128
25 × 32 × 11 × 13 = 41.184
27 × 17 × 19 = 41.344
26 × 3 × 13 × 17 = 42.432
22 × 3 × 11 × 17 × 19 = 42.636
24 × 11 × 13 × 19 = 43.472
2 × 32 × 11 × 13 × 17 = 43.758
11 × 13 × 17 × 19 = 46.189
24 × 32 × 17 × 19 = 46.512
26 × 3 × 13 × 19 = 47.424
2 × 32 × 11 × 13 × 19 = 48.906
22 × 3 × 13 × 17 × 19 = 50.388
25 × 32 × 11 × 17 = 53.856
27 × 3 × 11 × 13 = 54.912
24 × 11 × 17 × 19 = 56.848
23 × 3 × 11 × 13 × 17 = 58.344
25 × 32 × 11 × 19 = 60.192
26 × 3 × 17 × 19 = 62.016
25 × 32 × 13 × 17 = 63.648
2 × 32 × 11 × 17 × 19 = 63.954
23 × 3 × 11 × 13 × 19 = 65.208
24 × 13 × 17 × 19 = 67.184
25 × 32 × 13 × 19 = 71.136
27 × 3 × 11 × 17 = 71.808
2 × 32 × 13 × 17 × 19 = 75.582
25 × 11 × 13 × 17 = 77.792
27 × 3 × 11 × 19 = 80.256
26 × 32 × 11 × 13 = 82.368
27 × 3 × 13 × 17 = 84.864
23 × 3 × 11 × 17 × 19 = 85.272
25 × 11 × 13 × 19 = 86.944
22 × 32 × 11 × 13 × 17 = 87.516
2 × 11 × 13 × 17 × 19 = 92.378
25 × 32 × 17 × 19 = 93.024
27 × 3 × 13 × 19 = 94.848
22 × 32 × 11 × 13 × 19 = 97.812
23 × 3 × 13 × 17 × 19 = 100.776
26 × 32 × 11 × 17 = 107.712
25 × 11 × 17 × 19 = 113.696
24 × 3 × 11 × 13 × 17 = 116.688
26 × 32 × 11 × 19 = 120.384
27 × 3 × 17 × 19 = 124.032
26 × 32 × 13 × 17 = 127.296
22 × 32 × 11 × 17 × 19 = 127.908
24 × 3 × 11 × 13 × 19 = 130.416
25 × 13 × 17 × 19 = 134.368
3 × 11 × 13 × 17 × 19 = 138.567
26 × 32 × 13 × 19 = 142.272
22 × 32 × 13 × 17 × 19 = 151.164
26 × 11 × 13 × 17 = 155.584
27 × 32 × 11 × 13 = 164.736
24 × 3 × 11 × 17 × 19 = 170.544
26 × 11 × 13 × 19 = 173.888
23 × 32 × 11 × 13 × 17 = 175.032
22 × 11 × 13 × 17 × 19 = 184.756
26 × 32 × 17 × 19 = 186.048
23 × 32 × 11 × 13 × 19 = 195.624
24 × 3 × 13 × 17 × 19 = 201.552
27 × 32 × 11 × 17 = 215.424
26 × 11 × 17 × 19 = 227.392
25 × 3 × 11 × 13 × 17 = 233.376
27 × 32 × 11 × 19 = 240.768
27 × 32 × 13 × 17 = 254.592
23 × 32 × 11 × 17 × 19 = 255.816
25 × 3 × 11 × 13 × 19 = 260.832
26 × 13 × 17 × 19 = 268.736
2 × 3 × 11 × 13 × 17 × 19 = 277.134
27 × 32 × 13 × 19 = 284.544
23 × 32 × 13 × 17 × 19 = 302.328
27 × 11 × 13 × 17 = 311.168
25 × 3 × 11 × 17 × 19 = 341.088
27 × 11 × 13 × 19 = 347.776
24 × 32 × 11 × 13 × 17 = 350.064
23 × 11 × 13 × 17 × 19 = 369.512
27 × 32 × 17 × 19 = 372.096
24 × 32 × 11 × 13 × 19 = 391.248
25 × 3 × 13 × 17 × 19 = 403.104
32 × 11 × 13 × 17 × 19 = 415.701
27 × 11 × 17 × 19 = 454.784
26 × 3 × 11 × 13 × 17 = 466.752
24 × 32 × 11 × 17 × 19 = 511.632
26 × 3 × 11 × 13 × 19 = 521.664
27 × 13 × 17 × 19 = 537.472
22 × 3 × 11 × 13 × 17 × 19 = 554.268
24 × 32 × 13 × 17 × 19 = 604.656
26 × 3 × 11 × 17 × 19 = 682.176
25 × 32 × 11 × 13 × 17 = 700.128
24 × 11 × 13 × 17 × 19 = 739.024
25 × 32 × 11 × 13 × 19 = 782.496
26 × 3 × 13 × 17 × 19 = 806.208
2 × 32 × 11 × 13 × 17 × 19 = 831.402
27 × 3 × 11 × 13 × 17 = 933.504
25 × 32 × 11 × 17 × 19 = 1.023.264
27 × 3 × 11 × 13 × 19 = 1.043.328
23 × 3 × 11 × 13 × 17 × 19 = 1.108.536
25 × 32 × 13 × 17 × 19 = 1.209.312
27 × 3 × 11 × 17 × 19 = 1.364.352
26 × 32 × 11 × 13 × 17 = 1.400.256
25 × 11 × 13 × 17 × 19 = 1.478.048
26 × 32 × 11 × 13 × 19 = 1.564.992
27 × 3 × 13 × 17 × 19 = 1.612.416
22 × 32 × 11 × 13 × 17 × 19 = 1.662.804
26 × 32 × 11 × 17 × 19 = 2.046.528
24 × 3 × 11 × 13 × 17 × 19 = 2.217.072
26 × 32 × 13 × 17 × 19 = 2.418.624
27 × 32 × 11 × 13 × 17 = 2.800.512
26 × 11 × 13 × 17 × 19 = 2.956.096
27 × 32 × 11 × 13 × 19 = 3.129.984
23 × 32 × 11 × 13 × 17 × 19 = 3.325.608
27 × 32 × 11 × 17 × 19 = 4.093.056
25 × 3 × 11 × 13 × 17 × 19 = 4.434.144
27 × 32 × 13 × 17 × 19 = 4.837.248
27 × 11 × 13 × 17 × 19 = 5.912.192
24 × 32 × 11 × 13 × 17 × 19 = 6.651.216
26 × 3 × 11 × 13 × 17 × 19 = 8.868.288
25 × 32 × 11 × 13 × 17 × 19 = 13.302.432
27 × 3 × 11 × 13 × 17 × 19 = 17.736.576
26 × 32 × 11 × 13 × 17 × 19 = 26.604.864
27 × 32 × 11 × 13 × 17 × 19 = 53.209.728

最终答案:
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53.209.728 有 384 个除数:
1; 2; 3; 4; 6; 8; 9; 11; 12; 13; 16; 17; 18; 19; 22; 24; 26; 32; 33; 34; 36; 38; 39; 44; 48; 51; 52; 57; 64; 66; 68; 72; 76; 78; 88; 96; 99; 102; 104; 114; 117; 128; 132; 136; 143; 144; 152; 153; 156; 171; 176; 187; 192; 198; 204; 208; 209; 221; 228; 234; 247; 264; 272; 286; 288; 304; 306; 312; 323; 342; 352; 374; 384; 396; 408; 416; 418; 429; 442; 456; 468; 494; 528; 544; 561; 572; 576; 608; 612; 624; 627; 646; 663; 684; 704; 741; 748; 792; 816; 832; 836; 858; 884; 912; 936; 969; 988; 1.056; 1.088; 1.122; 1.144; 1.152; 1.216; 1.224; 1.248; 1.254; 1.287; 1.292; 1.326; 1.368; 1.408; 1.482; 1.496; 1.584; 1.632; 1.664; 1.672; 1.683; 1.716; 1.768; 1.824; 1.872; 1.881; 1.938; 1.976; 1.989; 2.112; 2.176; 2.223; 2.244; 2.288; 2.431; 2.432; 2.448; 2.496; 2.508; 2.574; 2.584; 2.652; 2.717; 2.736; 2.907; 2.964; 2.992; 3.168; 3.264; 3.344; 3.366; 3.432; 3.536; 3.553; 3.648; 3.744; 3.762; 3.876; 3.952; 3.978; 4.199; 4.224; 4.446; 4.488; 4.576; 4.862; 4.896; 4.992; 5.016; 5.148; 5.168; 5.304; 5.434; 5.472; 5.814; 5.928; 5.984; 6.336; 6.528; 6.688; 6.732; 6.864; 7.072; 7.106; 7.293; 7.296; 7.488; 7.524; 7.752; 7.904; 7.956; 8.151; 8.398; 8.892; 8.976; 9.152; 9.724; 9.792; 10.032; 10.296; 10.336; 10.608; 10.659; 10.868; 10.944; 11.628; 11.856; 11.968; 12.597; 12.672; 13.376; 13.464; 13.728; 14.144; 14.212; 14.586; 14.976; 15.048; 15.504; 15.808; 15.912; 16.302; 16.796; 17.784; 17.952; 18.304; 19.448; 19.584; 20.064; 20.592; 20.672; 21.216; 21.318; 21.736; 21.879; 21.888; 23.256; 23.712; 23.936; 24.453; 25.194; 26.752; 26.928; 27.456; 28.288; 28.424; 29.172; 30.096; 31.008; 31.616; 31.824; 31.977; 32.604; 33.592; 35.568; 35.904; 37.791; 38.896; 40.128; 41.184; 41.344; 42.432; 42.636; 43.472; 43.758; 46.189; 46.512; 47.424; 48.906; 50.388; 53.856; 54.912; 56.848; 58.344; 60.192; 62.016; 63.648; 63.954; 65.208; 67.184; 71.136; 71.808; 75.582; 77.792; 80.256; 82.368; 84.864; 85.272; 86.944; 87.516; 92.378; 93.024; 94.848; 97.812; 100.776; 107.712; 113.696; 116.688; 120.384; 124.032; 127.296; 127.908; 130.416; 134.368; 138.567; 142.272; 151.164; 155.584; 164.736; 170.544; 173.888; 175.032; 184.756; 186.048; 195.624; 201.552; 215.424; 227.392; 233.376; 240.768; 254.592; 255.816; 260.832; 268.736; 277.134; 284.544; 302.328; 311.168; 341.088; 347.776; 350.064; 369.512; 372.096; 391.248; 403.104; 415.701; 454.784; 466.752; 511.632; 521.664; 537.472; 554.268; 604.656; 682.176; 700.128; 739.024; 782.496; 806.208; 831.402; 933.504; 1.023.264; 1.043.328; 1.108.536; 1.209.312; 1.364.352; 1.400.256; 1.478.048; 1.564.992; 1.612.416; 1.662.804; 2.046.528; 2.217.072; 2.418.624; 2.800.512; 2.956.096; 3.129.984; 3.325.608; 4.093.056; 4.434.144; 4.837.248; 5.912.192; 6.651.216; 8.868.288; 13.302.432; 17.736.576; 26.604.864 和 53.209.728
其中有 6 个质因数: 2; 3; 11; 13; 17 和 19

找到一个数字的所有除数的一种快速方法是将其分解为质因数.

然后在所有不同的组合中乘以质因数及其指数 （如果有的话）.


其他与计算除数类似的操作：

» 数字 53.209.717 的所有除数和质因数是多少？

» 数字 53.209.742 的所有除数和质因数是多少？


计算一个或两个给定数字的所有除数

如何计算（如何求）一个数的所有除数：

如果该数是合数，则将其分解为素因数（数的素因数分解）。 然后将它们所有独特组合中的主要因子相乘，得到不同的结果。

如何计算两个数的所有公约数：

两个数的所有公约数都是最大公约数的所有约数。

计算这两个数字的最大公约数。

然后将最大公约数分解为质因数。 最后，将产生不同结果的所有质因数相乘，以它们所有独特的组合。

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一个或两个数字的所有计算除数的列表

除数，公约数，最大公约数，gcd（或也称为最高公约数，hcf）。

  • 如果数字“t”是数字“a”的除数，那么在“t”的素因式分解中，我们将只遇到也出现在“a”的素因式分解中的素因数。
  • 如果涉及指数，则在“t”的素因数分解中找到的任何基数的最大值最多等于“a”的素数因数分解中涉及的同一基数的指数。
  • 笔记： 23 = 2 × 2 × 2 = 8. 我们说 2 的 3 次方。 在此示例中，3 是指数，2 是底数。 指数表示底数与自身相乘的次数。 23 是幂，8 是幂的值。
  • 例如，12 是 120 的除数 - 将 120 除以 12 时余数为零。
  • 让我们看一下这两个数的素因数分解，并注意在这两个数的素数分解中出现的所有基数和指数：
  • 12 = 2 × 2 × 3 = 22 × 3
  • 120 = 2 × 2 × 2 × 3 × 5 = 23 × 3 × 5
  • 120 包含了 12 的所有质因数，并且它的所有底的指数都高于 12 的指数。
  • 如果“t”是“a”和“b”的公约数，则“t”的素数分解只包含“a”和“b”的素数分解中涉及的公共素因数。
  • 如果涉及指数，则在“t”的素因数分解中找到的任何基的指数的最大值至多等于“a”的素因数分解中涉及的同一基的指数的最小值 ”和“b”。
  • 例如，12 是 48 和 360 的公约数。
  • 将 48 或 360 除以 12 时余数为零。
  • 这里有三个数字 12、48 和 360 的所有素数分解：
  • 12 = 22 × 3
  • 48 = 24 × 3
  • 360 = 23 × 32 × 5
  • 请注意，48 和 360 有更多的除数： 2, 3, 4, 6, 8, 12, 24. 在这些数字中，24 是 48 和 360 的最大公约数，gcd（或最大公约数，hcf）。
  • 两个数“a”和“b”的最大公约数 gcd 是“a”和“b”的素数分解中涉及的所有公素因数的乘积，每个素数都取最低指数。
  • 根据此规则，可以计算出几个数的最大公约数，如下例所示。
  • gcd (1260; 3024; 5544) = ?
  • 1260 = 22 × 32
  • 3024 = 24 × 32 × 7
  • 5544 = 23 × 32 × 7 × 11
  • 这三个数的共同质因数是：
  • 2 - 它的最低指数是 (2; 3; 4) = 2 的最小值
  • 3 - 它的最低指数是 (2; 2; 2) 中的最小值 = 2
  • gcd (1260; 3024; 5544) = 22 × 32 = 252
  • 互质数：
  • 如果两个数“a”和“b”除了 1 之外没有其他公约数，则 gcd (a, b) = 1，并且数“a”和“b”称为互质数。
  • 两个数的最大公约数的所有除数：
  • 如果“a”和“b”不是互质的，那么“a”和“b”的每个公约数都是“a”和“b”的最大公约数的约数。