What is the Greatest Common Factor of 2952 and 2972?

Greatest common factor (GCF) of 2952 and 2972 is 4.

GCF(2952,2972) = 4

We will now calculate the prime factors of 2952 and 2972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2952 and 2972.

How to find the GCF of 2952 and 2972?

We will first find the prime factorization of 2952 and 2972. After we will calculate the factors of 2952 and 2972 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 2972

Prime factors of 2972 are 2, 743. Prime factorization of 2972 in exponential form is:

2972 = 2² × 743¹

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 2972

List of positive integer factors of 2972 that divides 2952 without a remainder.

1, 2, 4, 743, 1486

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2952 and 2972. The biggest common factor number is the GCF number.
So the greatest common factor 2952 and 2972 is 4.

Also check out the Least Common Multiple of 2952 and 2972