What is the Greatest Common Factor of 76968 and 76977?

Greatest common factor (GCF) of 76968 and 76977 is 9.

GCF(76968,76977) = 9

We will now calculate the prime factors of 76968 and 76977, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76968 and 76977.

How to find the GCF of 76968 and 76977?

We will first find the prime factorization of 76968 and 76977. After we will calculate the factors of 76968 and 76977 and find the biggest common factor number .

Step-1: Prime Factorization of 76968

Prime factors of 76968 are 2, 3, 1069. Prime factorization of 76968 in exponential form is:

76968 = 2³ × 3² × 1069¹

Step-2: Prime Factorization of 76977

Prime factors of 76977 are 3, 2851. Prime factorization of 76977 in exponential form is:

76977 = 3³ × 2851¹

Step-3: Factors of 76968

List of positive integer factors of 76968 that divides 76968 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1069, 2138, 3207, 4276, 6414, 8552, 9621, 12828, 19242, 25656, 38484

Step-4: Factors of 76977

List of positive integer factors of 76977 that divides 76968 without a remainder.

1, 3, 9, 27, 2851, 8553, 25659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76968 and 76977. The biggest common factor number is the GCF number.
So the greatest common factor 76968 and 76977 is 9.

Also check out the Least Common Multiple of 76968 and 76977