What is the Greatest Common Factor of 77924 and 77931?

Greatest common factor (GCF) of 77924 and 77931 is 7.

GCF(77924,77931) = 7

We will now calculate the prime factors of 77924 and 77931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77924 and 77931.

How to find the GCF of 77924 and 77931?

We will first find the prime factorization of 77924 and 77931. After we will calculate the factors of 77924 and 77931 and find the biggest common factor number .

Step-1: Prime Factorization of 77924

Prime factors of 77924 are 2, 7, 11, 23. Prime factorization of 77924 in exponential form is:

77924 = 2² × 7¹ × 11² × 23¹

Step-2: Prime Factorization of 77931

Prime factors of 77931 are 3, 7, 1237. Prime factorization of 77931 in exponential form is:

77931 = 3² × 7¹ × 1237¹

Step-3: Factors of 77924

List of positive integer factors of 77924 that divides 77924 without a remainder.

1, 2, 4, 7, 11, 14, 22, 23, 28, 44, 46, 77, 92, 121, 154, 161, 242, 253, 308, 322, 484, 506, 644, 847, 1012, 1694, 1771, 2783, 3388, 3542, 5566, 7084, 11132, 19481, 38962

Step-4: Factors of 77931

List of positive integer factors of 77931 that divides 77924 without a remainder.

1, 3, 7, 9, 21, 63, 1237, 3711, 8659, 11133, 25977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77924 and 77931. The biggest common factor number is the GCF number.
So the greatest common factor 77924 and 77931 is 7.

Also check out the Least Common Multiple of 77924 and 77931