What is the Greatest Common Factor of 2976 and 2988?

Greatest common factor (GCF) of 2976 and 2988 is 12.

GCF(2976,2988) = 12

We will now calculate the prime factors of 2976 and 2988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2976 and 2988.

How to find the GCF of 2976 and 2988?

We will first find the prime factorization of 2976 and 2988. After we will calculate the factors of 2976 and 2988 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 2988

Prime factors of 2988 are 2, 3, 83. Prime factorization of 2988 in exponential form is:

2988 = 2² × 3² × 83¹

Step-3: Factors of 2976

List of positive integer factors of 2976 that divides 2976 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

Step-4: Factors of 2988

List of positive integer factors of 2988 that divides 2976 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 83, 166, 249, 332, 498, 747, 996, 1494

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2976 and 2988. The biggest common factor number is the GCF number.
So the greatest common factor 2976 and 2988 is 12.

Also check out the Least Common Multiple of 2976 and 2988