What is the Greatest Common Factor of 77911 and 77931?

Greatest common factor (GCF) of 77911 and 77931 is 1.

GCF(77911,77931) = 1

We will now calculate the prime factors of 77911 and 77931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77911 and 77931.

How to find the GCF of 77911 and 77931?

We will first find the prime factorization of 77911 and 77931. After we will calculate the factors of 77911 and 77931 and find the biggest common factor number .

Step-1: Prime Factorization of 77911

Prime factors of 77911 are 17, 4583. Prime factorization of 77911 in exponential form is:

77911 = 17¹ × 4583¹

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 77911

List of positive integer factors of 77911 that divides 77911 without a remainder.

1, 17, 4583

Step-4: Factors of 77931

List of positive integer factors of 77931 that divides 77911 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 77911 and 77931. The biggest common factor number is the GCF number.
So the greatest common factor 77911 and 77931 is 1.

Also check out the Least Common Multiple of 77911 and 77931