What is the Greatest Common Factor of 76977 and 76992?

Greatest common factor (GCF) of 76977 and 76992 is 3.

GCF(76977,76992) = 3

We will now calculate the prime factors of 76977 and 76992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76977 and 76992.

How to find the GCF of 76977 and 76992?

We will first find the prime factorization of 76977 and 76992. After we will calculate the factors of 76977 and 76992 and find the biggest common factor number .

Step-1: Prime Factorization of 76977

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

76977 = 3³ × 2851¹

Step-2: Prime Factorization of 76992

Prime factors of 76992 are 2, 3, 401. Prime factorization of 76992 in exponential form is:

76992 = 2⁶ × 3¹ × 401¹

Step-3: Factors of 76977

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

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

Step-4: Factors of 76992

List of positive integer factors of 76992 that divides 76977 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 401, 802, 1203, 1604, 2406, 3208, 4812, 6416, 9624, 12832, 19248, 25664, 38496

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76977 and 76992. The biggest common factor number is the GCF number.
So the greatest common factor 76977 and 76992 is 3.

Also check out the Least Common Multiple of 76977 and 76992