What is the Greatest Common Factor of 2952 and 2968?

Greatest common factor (GCF) of 2952 and 2968 is 8.

GCF(2952,2968) = 8

We will now calculate the prime factors of 2952 and 2968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2952 and 2968.

How to find the GCF of 2952 and 2968?

We will first find the prime factorization of 2952 and 2968. After we will calculate the factors of 2952 and 2968 and find the biggest common factor number .

Step-1: Prime Factorization of 2952

Prime factors of 2952 are 2, 3, 41. Prime factorization of 2952 in exponential form is:

2952 = 2³ × 3² × 41¹

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 2952

List of positive integer factors of 2952 that divides 2952 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 41, 72, 82, 123, 164, 246, 328, 369, 492, 738, 984, 1476

Step-4: Factors of 2968

List of positive integer factors of 2968 that divides 2952 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 2952 and 2968. The biggest common factor number is the GCF number.
So the greatest common factor 2952 and 2968 is 8.

Also check out the Least Common Multiple of 2952 and 2968