What is the Greatest Common Factor of 92974 and 92989?

Greatest common factor (GCF) of 92974 and 92989 is 1.

GCF(92974,92989) = 1

We will now calculate the prime factors of 92974 and 92989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92974 and 92989.

How to find the GCF of 92974 and 92989?

We will first find the prime factorization of 92974 and 92989. After we will calculate the factors of 92974 and 92989 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 92989

Prime factors of 92989 are 13, 23, 311. Prime factorization of 92989 in exponential form is:

92989 = 13¹ × 23¹ × 311¹

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 92989

List of positive integer factors of 92989 that divides 92974 without a remainder.

1, 13, 23, 299, 311, 4043, 7153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92974 and 92989. The biggest common factor number is the GCF number.
So the greatest common factor 92974 and 92989 is 1.

Also check out the Least Common Multiple of 92974 and 92989