What is the Greatest Common Factor of 77931 and 77938?

Greatest common factor (GCF) of 77931 and 77938 is 7.

GCF(77931,77938) = 7

We will now calculate the prime factors of 77931 and 77938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77931 and 77938.

How to find the GCF of 77931 and 77938?

We will first find the prime factorization of 77931 and 77938. After we will calculate the factors of 77931 and 77938 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 77938

Prime factors of 77938 are 2, 7, 19, 293. Prime factorization of 77938 in exponential form is:

77938 = 2¹ × 7¹ × 19¹ × 293¹

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 77938

List of positive integer factors of 77938 that divides 77931 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266, 293, 586, 2051, 4102, 5567, 11134, 38969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77931 and 77938. The biggest common factor number is the GCF number.
So the greatest common factor 77931 and 77938 is 7.

Also check out the Least Common Multiple of 77931 and 77938