What is the Greatest Common Factor of 91872 and 91884?

Greatest common factor (GCF) of 91872 and 91884 is 12.

GCF(91872,91884) = 12

We will now calculate the prime factors of 91872 and 91884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91872 and 91884.

How to find the GCF of 91872 and 91884?

We will first find the prime factorization of 91872 and 91884. After we will calculate the factors of 91872 and 91884 and find the biggest common factor number .

Step-1: Prime Factorization of 91872

Prime factors of 91872 are 2, 3, 11, 29. Prime factorization of 91872 in exponential form is:

91872 = 2⁵ × 3² × 11¹ × 29¹

Step-2: Prime Factorization of 91884

Prime factors of 91884 are 2, 3, 13, 19, 31. Prime factorization of 91884 in exponential form is:

91884 = 2² × 3¹ × 13¹ × 19¹ × 31¹

Step-3: Factors of 91872

List of positive integer factors of 91872 that divides 91872 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 29, 32, 33, 36, 44, 48, 58, 66, 72, 87, 88, 96, 99, 116, 132, 144, 174, 176, 198, 232, 261, 264, 288, 319, 348, 352, 396, 464, 522, 528, 638, 696, 792, 928, 957, 1044, 1056, 1276, 1392, 1584, 1914, 2088, 2552, 2784, 2871, 3168, 3828, 4176, 5104, 5742, 7656, 8352, 10208, 11484, 15312, 22968, 30624, 45936

Step-4: Factors of 91884

List of positive integer factors of 91884 that divides 91872 without a remainder.

1, 2, 3, 4, 6, 12, 13, 19, 26, 31, 38, 39, 52, 57, 62, 76, 78, 93, 114, 124, 156, 186, 228, 247, 372, 403, 494, 589, 741, 806, 988, 1178, 1209, 1482, 1612, 1767, 2356, 2418, 2964, 3534, 4836, 7068, 7657, 15314, 22971, 30628, 45942

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91872 and 91884. The biggest common factor number is the GCF number.
So the greatest common factor 91872 and 91884 is 12.

Also check out the Least Common Multiple of 91872 and 91884