What is the Greatest Common Factor of 92976 and 92988?

Greatest common factor (GCF) of 92976 and 92988 is 12.

GCF(92976,92988) = 12

We will now calculate the prime factors of 92976 and 92988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92976 and 92988.

How to find the GCF of 92976 and 92988?

We will first find the prime factorization of 92976 and 92988. After we will calculate the factors of 92976 and 92988 and find the biggest common factor number .

Step-1: Prime Factorization of 92976

Prime factors of 92976 are 2, 3, 13, 149. Prime factorization of 92976 in exponential form is:

92976 = 2⁴ × 3¹ × 13¹ × 149¹

Step-2: Prime Factorization of 92988

Prime factors of 92988 are 2, 3, 7, 41. Prime factorization of 92988 in exponential form is:

92988 = 2² × 3⁴ × 7¹ × 41¹

Step-3: Factors of 92976

List of positive integer factors of 92976 that divides 92976 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 149, 156, 208, 298, 312, 447, 596, 624, 894, 1192, 1788, 1937, 2384, 3576, 3874, 5811, 7152, 7748, 11622, 15496, 23244, 30992, 46488

Step-4: Factors of 92988

List of positive integer factors of 92988 that divides 92976 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 41, 42, 54, 63, 81, 82, 84, 108, 123, 126, 162, 164, 189, 246, 252, 287, 324, 369, 378, 492, 567, 574, 738, 756, 861, 1107, 1134, 1148, 1476, 1722, 2214, 2268, 2583, 3321, 3444, 4428, 5166, 6642, 7749, 10332, 13284, 15498, 23247, 30996, 46494

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92976 and 92988. The biggest common factor number is the GCF number.
So the greatest common factor 92976 and 92988 is 12.

Also check out the Least Common Multiple of 92976 and 92988