What is the Greatest Common Factor of 77931 and 77937?

Greatest common factor (GCF) of 77931 and 77937 is 3.

GCF(77931,77937) = 3

We will now calculate the prime factors of 77931 and 77937, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77931 and 77937.

How to find the GCF of 77931 and 77937?

We will first find the prime factorization of 77931 and 77937. After we will calculate the factors of 77931 and 77937 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77937

Prime factors of 77937 are 3, 83, 313. Prime factorization of 77937 in exponential form is:

77937 = 3¹ × 83¹ × 313¹

Step-3: Factors of 77931

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

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

Step-4: Factors of 77937

List of positive integer factors of 77937 that divides 77931 without a remainder.

1, 3, 83, 249, 313, 939, 25979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77931 and 77937. The biggest common factor number is the GCF number.
So the greatest common factor 77931 and 77937 is 3.

Also check out the Least Common Multiple of 77931 and 77937