What is the Greatest Common Factor of 2968 and 2976?

Greatest common factor (GCF) of 2968 and 2976 is 8.

GCF(2968,2976) = 8

We will now calculate the prime factors of 2968 and 2976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2968 and 2976.

How to find the GCF of 2968 and 2976?

We will first find the prime factorization of 2968 and 2976. After we will calculate the factors of 2968 and 2976 and find the biggest common factor number .

Step-1: Prime Factorization of 2968

Prime factors of 2968 are 2, 7, 53. Prime factorization of 2968 in exponential form is:

2968 = 2³ × 7¹ × 53¹

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 2968

List of positive integer factors of 2968 that divides 2968 without a remainder.

1, 2, 4, 7, 8, 14, 28, 53, 56, 106, 212, 371, 424, 742, 1484

Step-4: Factors of 2976

List of positive integer factors of 2976 that divides 2968 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 2968 and 2976. The biggest common factor number is the GCF number.
So the greatest common factor 2968 and 2976 is 8.

Also check out the Least Common Multiple of 2968 and 2976