Given the Two Numbers 161,064,288 and 0 Calculate (Find) All Their Common Factors (All Their Divisors and the Prime Factors). Online Calculator

The common factors (divisors) of the numbers 161,064,288 and 0?

The common factors (divisors) of the numbers 161,064,288 and 0 are all the factors of their 'greatest (highest) common factor (divisor)', gcf


Calculate the greatest (highest) common factor (divisor), gcf, hcf, gcd:

Zero is divisible by any number other than zero (there is no remainder when dividing zero by these numbers).

The greatest factor (divisor) of the number 161,064,288 is the number itself.


⇒ gcf, hcf, gcd (161,064,288; 0) = 161,064,288




To find all the factors (all the divisors) of the 'gcf', we need its prime factorization (to decompose it into prime factors).

The prime factorization of a number: finding the prime numbers that multiply together to make that number.


161,064,288 = 25 × 35 × 7 × 11 × 269
161,064,288 is not a prime number but a composite one.



* Prime number: a natural number that is divisible only by 1 and itself. A prime number has exactly two factors: 1 and itself.
* Composite number: a natural number that has at least one other factor than 1 and itself.



Multiply the prime factors of the 'gcf':

Multiply the prime factors involved in the prime factorization of the GCF in all their unique combinations, that give different results.


Also consider the exponents of the prime factors (example: 32 = 3 × 3 = 9).


Also add 1 to the list of factors (divisors). All the numbers are divisible by 1.


All the factors (divisors) are listed below - in ascending order

The list of factors (divisors):

neither prime nor composite = 1
prime factor = 2
prime factor = 3
22 = 4
2 × 3 = 6
prime factor = 7
23 = 8
32 = 9
prime factor = 11
22 × 3 = 12
2 × 7 = 14
24 = 16
2 × 32 = 18
3 × 7 = 21
2 × 11 = 22
23 × 3 = 24
33 = 27
22 × 7 = 28
25 = 32
3 × 11 = 33
22 × 32 = 36
2 × 3 × 7 = 42
22 × 11 = 44
24 × 3 = 48
2 × 33 = 54
23 × 7 = 56
32 × 7 = 63
2 × 3 × 11 = 66
23 × 32 = 72
7 × 11 = 77
34 = 81
22 × 3 × 7 = 84
23 × 11 = 88
25 × 3 = 96
32 × 11 = 99
22 × 33 = 108
24 × 7 = 112
2 × 32 × 7 = 126
22 × 3 × 11 = 132
24 × 32 = 144
2 × 7 × 11 = 154
2 × 34 = 162
23 × 3 × 7 = 168
24 × 11 = 176
33 × 7 = 189
2 × 32 × 11 = 198
23 × 33 = 216
25 × 7 = 224
3 × 7 × 11 = 231
35 = 243
22 × 32 × 7 = 252
23 × 3 × 11 = 264
prime factor = 269
25 × 32 = 288
33 × 11 = 297
22 × 7 × 11 = 308
22 × 34 = 324
24 × 3 × 7 = 336
25 × 11 = 352
2 × 33 × 7 = 378
22 × 32 × 11 = 396
24 × 33 = 432
2 × 3 × 7 × 11 = 462
2 × 35 = 486
23 × 32 × 7 = 504
24 × 3 × 11 = 528
2 × 269 = 538
34 × 7 = 567
2 × 33 × 11 = 594
23 × 7 × 11 = 616
23 × 34 = 648
25 × 3 × 7 = 672
32 × 7 × 11 = 693
22 × 33 × 7 = 756
23 × 32 × 11 = 792
3 × 269 = 807
25 × 33 = 864
34 × 11 = 891
22 × 3 × 7 × 11 = 924
22 × 35 = 972
24 × 32 × 7 = 1,008
25 × 3 × 11 = 1,056
22 × 269 = 1,076
2 × 34 × 7 = 1,134
22 × 33 × 11 = 1,188
24 × 7 × 11 = 1,232
24 × 34 = 1,296
2 × 32 × 7 × 11 = 1,386
23 × 33 × 7 = 1,512
24 × 32 × 11 = 1,584
2 × 3 × 269 = 1,614
35 × 7 = 1,701
2 × 34 × 11 = 1,782
23 × 3 × 7 × 11 = 1,848
7 × 269 = 1,883
23 × 35 = 1,944
25 × 32 × 7 = 2,016
33 × 7 × 11 = 2,079
23 × 269 = 2,152
22 × 34 × 7 = 2,268
23 × 33 × 11 = 2,376
32 × 269 = 2,421
25 × 7 × 11 = 2,464
25 × 34 = 2,592
35 × 11 = 2,673
22 × 32 × 7 × 11 = 2,772
11 × 269 = 2,959
24 × 33 × 7 = 3,024
25 × 32 × 11 = 3,168
22 × 3 × 269 = 3,228
2 × 35 × 7 = 3,402
22 × 34 × 11 = 3,564
24 × 3 × 7 × 11 = 3,696
2 × 7 × 269 = 3,766
24 × 35 = 3,888
2 × 33 × 7 × 11 = 4,158
24 × 269 = 4,304
23 × 34 × 7 = 4,536
24 × 33 × 11 = 4,752
2 × 32 × 269 = 4,842
2 × 35 × 11 = 5,346
23 × 32 × 7 × 11 = 5,544
3 × 7 × 269 = 5,649
2 × 11 × 269 = 5,918
25 × 33 × 7 = 6,048
34 × 7 × 11 = 6,237
23 × 3 × 269 = 6,456
22 × 35 × 7 = 6,804
23 × 34 × 11 = 7,128
33 × 269 = 7,263
25 × 3 × 7 × 11 = 7,392
22 × 7 × 269 = 7,532
25 × 35 = 7,776
22 × 33 × 7 × 11 = 8,316
25 × 269 = 8,608
3 × 11 × 269 = 8,877
24 × 34 × 7 = 9,072
25 × 33 × 11 = 9,504
22 × 32 × 269 = 9,684
22 × 35 × 11 = 10,692
24 × 32 × 7 × 11 = 11,088
2 × 3 × 7 × 269 = 11,298
22 × 11 × 269 = 11,836
2 × 34 × 7 × 11 = 12,474
This list continues below...

... This list continues from above
24 × 3 × 269 = 12,912
23 × 35 × 7 = 13,608
24 × 34 × 11 = 14,256
2 × 33 × 269 = 14,526
23 × 7 × 269 = 15,064
23 × 33 × 7 × 11 = 16,632
32 × 7 × 269 = 16,947
2 × 3 × 11 × 269 = 17,754
25 × 34 × 7 = 18,144
35 × 7 × 11 = 18,711
23 × 32 × 269 = 19,368
7 × 11 × 269 = 20,713
23 × 35 × 11 = 21,384
34 × 269 = 21,789
25 × 32 × 7 × 11 = 22,176
22 × 3 × 7 × 269 = 22,596
23 × 11 × 269 = 23,672
22 × 34 × 7 × 11 = 24,948
25 × 3 × 269 = 25,824
32 × 11 × 269 = 26,631
24 × 35 × 7 = 27,216
25 × 34 × 11 = 28,512
22 × 33 × 269 = 29,052
24 × 7 × 269 = 30,128
24 × 33 × 7 × 11 = 33,264
2 × 32 × 7 × 269 = 33,894
22 × 3 × 11 × 269 = 35,508
2 × 35 × 7 × 11 = 37,422
24 × 32 × 269 = 38,736
2 × 7 × 11 × 269 = 41,426
24 × 35 × 11 = 42,768
2 × 34 × 269 = 43,578
23 × 3 × 7 × 269 = 45,192
24 × 11 × 269 = 47,344
23 × 34 × 7 × 11 = 49,896
33 × 7 × 269 = 50,841
2 × 32 × 11 × 269 = 53,262
25 × 35 × 7 = 54,432
23 × 33 × 269 = 58,104
25 × 7 × 269 = 60,256
3 × 7 × 11 × 269 = 62,139
35 × 269 = 65,367
25 × 33 × 7 × 11 = 66,528
22 × 32 × 7 × 269 = 67,788
23 × 3 × 11 × 269 = 71,016
22 × 35 × 7 × 11 = 74,844
25 × 32 × 269 = 77,472
33 × 11 × 269 = 79,893
22 × 7 × 11 × 269 = 82,852
25 × 35 × 11 = 85,536
22 × 34 × 269 = 87,156
24 × 3 × 7 × 269 = 90,384
25 × 11 × 269 = 94,688
24 × 34 × 7 × 11 = 99,792
2 × 33 × 7 × 269 = 101,682
22 × 32 × 11 × 269 = 106,524
24 × 33 × 269 = 116,208
2 × 3 × 7 × 11 × 269 = 124,278
2 × 35 × 269 = 130,734
23 × 32 × 7 × 269 = 135,576
24 × 3 × 11 × 269 = 142,032
23 × 35 × 7 × 11 = 149,688
34 × 7 × 269 = 152,523
2 × 33 × 11 × 269 = 159,786
23 × 7 × 11 × 269 = 165,704
23 × 34 × 269 = 174,312
25 × 3 × 7 × 269 = 180,768
32 × 7 × 11 × 269 = 186,417
25 × 34 × 7 × 11 = 199,584
22 × 33 × 7 × 269 = 203,364
23 × 32 × 11 × 269 = 213,048
25 × 33 × 269 = 232,416
34 × 11 × 269 = 239,679
22 × 3 × 7 × 11 × 269 = 248,556
22 × 35 × 269 = 261,468
24 × 32 × 7 × 269 = 271,152
25 × 3 × 11 × 269 = 284,064
24 × 35 × 7 × 11 = 299,376
2 × 34 × 7 × 269 = 305,046
22 × 33 × 11 × 269 = 319,572
24 × 7 × 11 × 269 = 331,408
24 × 34 × 269 = 348,624
2 × 32 × 7 × 11 × 269 = 372,834
23 × 33 × 7 × 269 = 406,728
24 × 32 × 11 × 269 = 426,096
35 × 7 × 269 = 457,569
2 × 34 × 11 × 269 = 479,358
23 × 3 × 7 × 11 × 269 = 497,112
23 × 35 × 269 = 522,936
25 × 32 × 7 × 269 = 542,304
33 × 7 × 11 × 269 = 559,251
25 × 35 × 7 × 11 = 598,752
22 × 34 × 7 × 269 = 610,092
23 × 33 × 11 × 269 = 639,144
25 × 7 × 11 × 269 = 662,816
25 × 34 × 269 = 697,248
35 × 11 × 269 = 719,037
22 × 32 × 7 × 11 × 269 = 745,668
24 × 33 × 7 × 269 = 813,456
25 × 32 × 11 × 269 = 852,192
2 × 35 × 7 × 269 = 915,138
22 × 34 × 11 × 269 = 958,716
24 × 3 × 7 × 11 × 269 = 994,224
24 × 35 × 269 = 1,045,872
2 × 33 × 7 × 11 × 269 = 1,118,502
23 × 34 × 7 × 269 = 1,220,184
24 × 33 × 11 × 269 = 1,278,288
2 × 35 × 11 × 269 = 1,438,074
23 × 32 × 7 × 11 × 269 = 1,491,336
25 × 33 × 7 × 269 = 1,626,912
34 × 7 × 11 × 269 = 1,677,753
22 × 35 × 7 × 269 = 1,830,276
23 × 34 × 11 × 269 = 1,917,432
25 × 3 × 7 × 11 × 269 = 1,988,448
25 × 35 × 269 = 2,091,744
22 × 33 × 7 × 11 × 269 = 2,237,004
24 × 34 × 7 × 269 = 2,440,368
25 × 33 × 11 × 269 = 2,556,576
22 × 35 × 11 × 269 = 2,876,148
24 × 32 × 7 × 11 × 269 = 2,982,672
2 × 34 × 7 × 11 × 269 = 3,355,506
23 × 35 × 7 × 269 = 3,660,552
24 × 34 × 11 × 269 = 3,834,864
23 × 33 × 7 × 11 × 269 = 4,474,008
25 × 34 × 7 × 269 = 4,880,736
35 × 7 × 11 × 269 = 5,033,259
23 × 35 × 11 × 269 = 5,752,296
25 × 32 × 7 × 11 × 269 = 5,965,344
22 × 34 × 7 × 11 × 269 = 6,711,012
24 × 35 × 7 × 269 = 7,321,104
25 × 34 × 11 × 269 = 7,669,728
24 × 33 × 7 × 11 × 269 = 8,948,016
2 × 35 × 7 × 11 × 269 = 10,066,518
24 × 35 × 11 × 269 = 11,504,592
23 × 34 × 7 × 11 × 269 = 13,422,024
25 × 35 × 7 × 269 = 14,642,208
25 × 33 × 7 × 11 × 269 = 17,896,032
22 × 35 × 7 × 11 × 269 = 20,133,036
25 × 35 × 11 × 269 = 23,009,184
24 × 34 × 7 × 11 × 269 = 26,844,048
23 × 35 × 7 × 11 × 269 = 40,266,072
25 × 34 × 7 × 11 × 269 = 53,688,096
24 × 35 × 7 × 11 × 269 = 80,532,144
25 × 35 × 7 × 11 × 269 = 161,064,288

161,064,288 and 0 have 288 common factors (divisors):
1; 2; 3; 4; 6; 7; 8; 9; 11; 12; 14; 16; 18; 21; 22; 24; 27; 28; 32; 33; 36; 42; 44; 48; 54; 56; 63; 66; 72; 77; 81; 84; 88; 96; 99; 108; 112; 126; 132; 144; 154; 162; 168; 176; 189; 198; 216; 224; 231; 243; 252; 264; 269; 288; 297; 308; 324; 336; 352; 378; 396; 432; 462; 486; 504; 528; 538; 567; 594; 616; 648; 672; 693; 756; 792; 807; 864; 891; 924; 972; 1,008; 1,056; 1,076; 1,134; 1,188; 1,232; 1,296; 1,386; 1,512; 1,584; 1,614; 1,701; 1,782; 1,848; 1,883; 1,944; 2,016; 2,079; 2,152; 2,268; 2,376; 2,421; 2,464; 2,592; 2,673; 2,772; 2,959; 3,024; 3,168; 3,228; 3,402; 3,564; 3,696; 3,766; 3,888; 4,158; 4,304; 4,536; 4,752; 4,842; 5,346; 5,544; 5,649; 5,918; 6,048; 6,237; 6,456; 6,804; 7,128; 7,263; 7,392; 7,532; 7,776; 8,316; 8,608; 8,877; 9,072; 9,504; 9,684; 10,692; 11,088; 11,298; 11,836; 12,474; 12,912; 13,608; 14,256; 14,526; 15,064; 16,632; 16,947; 17,754; 18,144; 18,711; 19,368; 20,713; 21,384; 21,789; 22,176; 22,596; 23,672; 24,948; 25,824; 26,631; 27,216; 28,512; 29,052; 30,128; 33,264; 33,894; 35,508; 37,422; 38,736; 41,426; 42,768; 43,578; 45,192; 47,344; 49,896; 50,841; 53,262; 54,432; 58,104; 60,256; 62,139; 65,367; 66,528; 67,788; 71,016; 74,844; 77,472; 79,893; 82,852; 85,536; 87,156; 90,384; 94,688; 99,792; 101,682; 106,524; 116,208; 124,278; 130,734; 135,576; 142,032; 149,688; 152,523; 159,786; 165,704; 174,312; 180,768; 186,417; 199,584; 203,364; 213,048; 232,416; 239,679; 248,556; 261,468; 271,152; 284,064; 299,376; 305,046; 319,572; 331,408; 348,624; 372,834; 406,728; 426,096; 457,569; 479,358; 497,112; 522,936; 542,304; 559,251; 598,752; 610,092; 639,144; 662,816; 697,248; 719,037; 745,668; 813,456; 852,192; 915,138; 958,716; 994,224; 1,045,872; 1,118,502; 1,220,184; 1,278,288; 1,438,074; 1,491,336; 1,626,912; 1,677,753; 1,830,276; 1,917,432; 1,988,448; 2,091,744; 2,237,004; 2,440,368; 2,556,576; 2,876,148; 2,982,672; 3,355,506; 3,660,552; 3,834,864; 4,474,008; 4,880,736; 5,033,259; 5,752,296; 5,965,344; 6,711,012; 7,321,104; 7,669,728; 8,948,016; 10,066,518; 11,504,592; 13,422,024; 14,642,208; 17,896,032; 20,133,036; 23,009,184; 26,844,048; 40,266,072; 53,688,096; 80,532,144 and 161,064,288
out of which 5 prime factors: 2; 3; 7; 11 and 269

Factors (divisors), common factors (common divisors), the greatest common factor, GCF (also called the greatest common divisor, GCD, or the highest common factor, HCF)

  • If the number "t" is a factor (divisor) of the number "a" then in the prime factorization of "t" we will only encounter prime factors that also occur in the prime factorization of "a".
  • If there are exponents involved, the maximum value of an exponent for any base of a power that is found in the prime factorization of "t" (powers, or multiplicities) is at most equal to the exponent of the same base that is involved in the prime factorization of "a".
  • Hint: 23 = 2 × 2 × 2 = 8. 2 is called the base and 3 is the exponent. 23 is the power and 8 is the value of the power. We sometimes say that the number 2 is raised to the power of 3.
  • For example, 12 is a factor (divisor) of 120 - the remainder is zero when dividing 120 by 12.
  • Let's look at the prime factorization of both numbers and notice the bases and the exponents that occur in the prime factorization of both numbers:
  • 12 = 2 × 2 × 3 = 22 × 3
  • 120 = 2 × 2 × 2 × 3 × 5 = 23 × 3 × 5
  • 120 contains all the prime factors of 12, and all its bases' exponents are higher than those of 12.
  • If "t" is a common factor (divisor) of "a" and "b", then the prime factorization of "t" contains only the common prime factors involved in the prime factorizations of both "a" and "b".
  • If there are exponents involved, the maximum value of an exponent for any base of a power that is found in the prime factorization of "t" is at most equal to the minimum of the exponents of the same base that is involved in the prime factorization of both "a" and "b".
  • For example, 12 is the common factor of 48 and 360.
  • The remainder is zero when dividing either 48 or 360 by 12.
  • Here there are the prime factorizations of the three numbers, 12, 48 and 360:
  • 12 = 22 × 3
  • 48 = 24 × 3
  • 360 = 23 × 32 × 5
  • Please note that 48 and 360 have more factors (divisors): 2, 3, 4, 6, 8, 12, 24. Among them, 24 is the greatest common factor, GCF (or the greatest common divisor, GCD, or the highest common factor, HCF) of 48 and 360.
  • The greatest common factor, GCF, of two numbers, "a" and "b", is the product of all the common prime factors involved in the prime factorizations of both "a" and "b", taken by the lowest exponents.
  • Based on this rule it is calculated the greatest common factor, GCF, (or the greatest common divisor GCD, HCF) of several numbers, as shown in the example below...
  • GCF, GCD (1,260; 3,024; 5,544) = ?
  • 1,260 = 22 × 32
  • 3,024 = 24 × 32 × 7
  • 5,544 = 23 × 32 × 7 × 11
  • The common prime factors are:
  • 2 - its lowest exponent (multiplicity) is: min.(2; 3; 4) = 2
  • 3 - its lowest exponent (multiplicity) is: min.(2; 2; 2) = 2
  • GCF, GCD (1,260; 3,024; 5,544) = 22 × 32 = 252
  • Coprime numbers:
  • If two numbers "a" and "b" have no other common factors (divisors) than 1, gfc, gcd, hcf (a; b) = 1, then the numbers "a" and "b" are called coprime (or relatively prime).
  • Factors of the GCF
  • If "a" and "b" are not coprime, then every common factor (divisor) of "a" and "b" is a also a factor (divisor) of the greatest common factor, GCF (greatest common divisor, GCD, highest common factor, HCF) of "a" and "b".