What is the Greatest Common Factor of 2976 and 2992?

Greatest common factor (GCF) of 2976 and 2992 is 16.

GCF(2976,2992) = 16

We will now calculate the prime factors of 2976 and 2992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2976 and 2992.

How to find the GCF of 2976 and 2992?

We will first find the prime factorization of 2976 and 2992. After we will calculate the factors of 2976 and 2992 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 2992

Prime factors of 2992 are 2, 11, 17. Prime factorization of 2992 in exponential form is:

2992 = 2⁴ × 11¹ × 17¹

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 2992

List of positive integer factors of 2992 that divides 2976 without a remainder.

1, 2, 4, 8, 11, 16, 17, 22, 34, 44, 68, 88, 136, 176, 187, 272, 374, 748, 1496

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2976 and 2992. The biggest common factor number is the GCF number.
So the greatest common factor 2976 and 2992 is 16.

Also check out the Least Common Multiple of 2976 and 2992