What is the Greatest Common Factor of 92974 and 92988?

Greatest common factor (GCF) of 92974 and 92988 is 14.

GCF(92974,92988) = 14

We will now calculate the prime factors of 92974 and 92988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92974 and 92988.

How to find the GCF of 92974 and 92988?

We will first find the prime factorization of 92974 and 92988. After we will calculate the factors of 92974 and 92988 and find the biggest common factor number .

Step-1: Prime Factorization of 92974

Prime factors of 92974 are 2, 7, 29, 229. Prime factorization of 92974 in exponential form is:

92974 = 2¹ × 7¹ × 29¹ × 229¹

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 92974

List of positive integer factors of 92974 that divides 92974 without a remainder.

1, 2, 7, 14, 29, 58, 203, 229, 406, 458, 1603, 3206, 6641, 13282, 46487

Step-4: Factors of 92988

List of positive integer factors of 92988 that divides 92974 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 92974 and 92988. The biggest common factor number is the GCF number.
So the greatest common factor 92974 and 92988 is 14.

Also check out the Least Common Multiple of 92974 and 92988