What is the Greatest Common Factor of 96964 and 96971?

Greatest common factor (GCF) of 96964 and 96971 is 7.

GCF(96964,96971) = 7

We will now calculate the prime factors of 96964 and 96971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96964 and 96971.

How to find the GCF of 96964 and 96971?

We will first find the prime factorization of 96964 and 96971. After we will calculate the factors of 96964 and 96971 and find the biggest common factor number .

Step-1: Prime Factorization of 96964

Prime factors of 96964 are 2, 7, 3463. Prime factorization of 96964 in exponential form is:

96964 = 2² × 7¹ × 3463¹

Step-2: Prime Factorization of 96971

Prime factors of 96971 are 7, 1979. Prime factorization of 96971 in exponential form is:

96971 = 7² × 1979¹

Step-3: Factors of 96964

List of positive integer factors of 96964 that divides 96964 without a remainder.

1, 2, 4, 7, 14, 28, 3463, 6926, 13852, 24241, 48482

Step-4: Factors of 96971

List of positive integer factors of 96971 that divides 96964 without a remainder.

1, 7, 49, 1979, 13853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96964 and 96971. The biggest common factor number is the GCF number.
So the greatest common factor 96964 and 96971 is 7.

Also check out the Least Common Multiple of 96964 and 96971