What is the Greatest Common Factor of 2961 and 2968?

Greatest common factor (GCF) of 2961 and 2968 is 7.

GCF(2961,2968) = 7

We will now calculate the prime factors of 2961 and 2968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2961 and 2968.

How to find the GCF of 2961 and 2968?

We will first find the prime factorization of 2961 and 2968. After we will calculate the factors of 2961 and 2968 and find the biggest common factor number .

Step-1: Prime Factorization of 2961

Prime factors of 2961 are 3, 7, 47. Prime factorization of 2961 in exponential form is:

2961 = 3² × 7¹ × 47¹

Step-2: 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-3: Factors of 2961

List of positive integer factors of 2961 that divides 2961 without a remainder.

1, 3, 7, 9, 21, 47, 63, 141, 329, 423, 987

Step-4: Factors of 2968

List of positive integer factors of 2968 that divides 2961 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2961 and 2968. The biggest common factor number is the GCF number.
So the greatest common factor 2961 and 2968 is 7.

Also check out the Least Common Multiple of 2961 and 2968