What is the Greatest Common Factor of 77931 and 77936?

Greatest common factor (GCF) of 77931 and 77936 is 1.

GCF(77931,77936) = 1

We will now calculate the prime factors of 77931 and 77936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77931 and 77936.

How to find the GCF of 77931 and 77936?

We will first find the prime factorization of 77931 and 77936. After we will calculate the factors of 77931 and 77936 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 77936

Prime factors of 77936 are 2, 4871. Prime factorization of 77936 in exponential form is:

77936 = 2⁴ × 4871¹

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 77936

List of positive integer factors of 77936 that divides 77931 without a remainder.

1, 2, 4, 8, 16, 4871, 9742, 19484, 38968

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77931 and 77936. The biggest common factor number is the GCF number.
So the greatest common factor 77931 and 77936 is 1.

Also check out the Least Common Multiple of 77931 and 77936