What is the Greatest Common Factor of 82964 and 82971?

Greatest common factor (GCF) of 82964 and 82971 is 7.

GCF(82964,82971) = 7

We will now calculate the prime factors of 82964 and 82971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82964 and 82971.

How to find the GCF of 82964 and 82971?

We will first find the prime factorization of 82964 and 82971. After we will calculate the factors of 82964 and 82971 and find the biggest common factor number .

Step-1: Prime Factorization of 82964

Prime factors of 82964 are 2, 7, 2963. Prime factorization of 82964 in exponential form is:

82964 = 2² × 7¹ × 2963¹

Step-2: Prime Factorization of 82971

Prime factors of 82971 are 3, 7, 439. Prime factorization of 82971 in exponential form is:

82971 = 3³ × 7¹ × 439¹

Step-3: Factors of 82964

List of positive integer factors of 82964 that divides 82964 without a remainder.

1, 2, 4, 7, 14, 28, 2963, 5926, 11852, 20741, 41482

Step-4: Factors of 82971

List of positive integer factors of 82971 that divides 82964 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 439, 1317, 3073, 3951, 9219, 11853, 27657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82964 and 82971. The biggest common factor number is the GCF number.
So the greatest common factor 82964 and 82971 is 7.

Also check out the Least Common Multiple of 82964 and 82971