What is the Greatest Common Factor of 92974 and 92980?

Greatest common factor (GCF) of 92974 and 92980 is 2.

GCF(92974,92980) = 2

We will now calculate the prime factors of 92974 and 92980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92974 and 92980.

How to find the GCF of 92974 and 92980?

We will first find the prime factorization of 92974 and 92980. After we will calculate the factors of 92974 and 92980 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 92980

Prime factors of 92980 are 2, 5, 4649. Prime factorization of 92980 in exponential form is:

92980 = 2² × 5¹ × 4649¹

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 92980

List of positive integer factors of 92980 that divides 92974 without a remainder.

1, 2, 4, 5, 10, 20, 4649, 9298, 18596, 23245, 46490

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92974 and 92980. The biggest common factor number is the GCF number.
So the greatest common factor 92974 and 92980 is 2.

Also check out the Least Common Multiple of 92974 and 92980