What is the Greatest Common Factor of 2964 and 2976?

Greatest common factor (GCF) of 2964 and 2976 is 12.

GCF(2964,2976) = 12

We will now calculate the prime factors of 2964 and 2976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2964 and 2976.

How to find the GCF of 2964 and 2976?

We will first find the prime factorization of 2964 and 2976. After we will calculate the factors of 2964 and 2976 and find the biggest common factor number .

Step-1: Prime Factorization of 2964

Prime factors of 2964 are 2, 3, 13, 19. Prime factorization of 2964 in exponential form is:

2964 = 2² × 3¹ × 13¹ × 19¹

Step-2: Prime Factorization of 2976

Prime factors of 2976 are 2, 3, 31. Prime factorization of 2976 in exponential form is:

2976 = 2⁵ × 3¹ × 31¹

Step-3: Factors of 2964

List of positive integer factors of 2964 that divides 2964 without a remainder.

1, 2, 3, 4, 6, 12, 13, 19, 26, 38, 39, 52, 57, 76, 78, 114, 156, 228, 247, 494, 741, 988, 1482

Step-4: Factors of 2976

List of positive integer factors of 2976 that divides 2964 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 32, 48, 62, 93, 96, 124, 186, 248, 372, 496, 744, 992, 1488

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2964 and 2976. The biggest common factor number is the GCF number.
So the greatest common factor 2964 and 2976 is 12.

Also check out the Least Common Multiple of 2964 and 2976