What is the Greatest Common Factor of 5952 and 5972?

Greatest common factor (GCF) of 5952 and 5972 is 4.

GCF(5952,5972) = 4

We will now calculate the prime factors of 5952 and 5972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5952 and 5972.

How to find the GCF of 5952 and 5972?

We will first find the prime factorization of 5952 and 5972. After we will calculate the factors of 5952 and 5972 and find the biggest common factor number .

Step-1: Prime Factorization of 5952

Prime factors of 5952 are 2, 3, 31. Prime factorization of 5952 in exponential form is:

5952 = 2⁶ × 3¹ × 31¹

Step-2: Prime Factorization of 5972

Prime factors of 5972 are 2, 1493. Prime factorization of 5972 in exponential form is:

5972 = 2² × 1493¹

Step-3: Factors of 5952

List of positive integer factors of 5952 that divides 5952 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 32, 48, 62, 64, 93, 96, 124, 186, 192, 248, 372, 496, 744, 992, 1488, 1984, 2976

Step-4: Factors of 5972

List of positive integer factors of 5972 that divides 5952 without a remainder.

1, 2, 4, 1493, 2986

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5952 and 5972. The biggest common factor number is the GCF number.
So the greatest common factor 5952 and 5972 is 4.

Also check out the Least Common Multiple of 5952 and 5972