What is the Greatest Common Factor of 7964 and 7972?

Greatest common factor (GCF) of 7964 and 7972 is 4.

GCF(7964,7972) = 4

We will now calculate the prime factors of 7964 and 7972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7964 and 7972.

How to find the GCF of 7964 and 7972?

We will first find the prime factorization of 7964 and 7972. After we will calculate the factors of 7964 and 7972 and find the biggest common factor number .

Step-1: Prime Factorization of 7964

Prime factors of 7964 are 2, 11, 181. Prime factorization of 7964 in exponential form is:

7964 = 2² × 11¹ × 181¹

Step-2: Prime Factorization of 7972

Prime factors of 7972 are 2, 1993. Prime factorization of 7972 in exponential form is:

7972 = 2² × 1993¹

Step-3: Factors of 7964

List of positive integer factors of 7964 that divides 7964 without a remainder.

1, 2, 4, 11, 22, 44, 181, 362, 724, 1991, 3982

Step-4: Factors of 7972

List of positive integer factors of 7972 that divides 7964 without a remainder.

1, 2, 4, 1993, 3986

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7964 and 7972. The biggest common factor number is the GCF number.
So the greatest common factor 7964 and 7972 is 4.

Also check out the Least Common Multiple of 7964 and 7972