What is the Greatest Common Factor of 5964 and 5972?

Greatest common factor (GCF) of 5964 and 5972 is 4.

GCF(5964,5972) = 4

We will now calculate the prime factors of 5964 and 5972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5964 and 5972.

How to find the GCF of 5964 and 5972?

We will first find the prime factorization of 5964 and 5972. After we will calculate the factors of 5964 and 5972 and find the biggest common factor number .

Step-1: Prime Factorization of 5964

Prime factors of 5964 are 2, 3, 7, 71. Prime factorization of 5964 in exponential form is:

5964 = 2² × 3¹ × 7¹ × 71¹

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 5964

List of positive integer factors of 5964 that divides 5964 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 71, 84, 142, 213, 284, 426, 497, 852, 994, 1491, 1988, 2982

Step-4: Factors of 5972

List of positive integer factors of 5972 that divides 5964 without a remainder.

1, 2, 4, 1493, 2986

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5964 and 5972. The biggest common factor number is the GCF number.
So the greatest common factor 5964 and 5972 is 4.

Also check out the Least Common Multiple of 5964 and 5972