What is the Greatest Common Factor of 52964 and 52972?

Greatest common factor (GCF) of 52964 and 52972 is 4.

GCF(52964,52972) = 4

We will now calculate the prime factors of 52964 and 52972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52964 and 52972.

How to find the GCF of 52964 and 52972?

We will first find the prime factorization of 52964 and 52972. After we will calculate the factors of 52964 and 52972 and find the biggest common factor number .

Step-1: Prime Factorization of 52964

Prime factors of 52964 are 2, 13241. Prime factorization of 52964 in exponential form is:

52964 = 2² × 13241¹

Step-2: Prime Factorization of 52972

Prime factors of 52972 are 2, 17, 19, 41. Prime factorization of 52972 in exponential form is:

52972 = 2² × 17¹ × 19¹ × 41¹

Step-3: Factors of 52964

List of positive integer factors of 52964 that divides 52964 without a remainder.

1, 2, 4, 13241, 26482

Step-4: Factors of 52972

List of positive integer factors of 52972 that divides 52964 without a remainder.

1, 2, 4, 17, 19, 34, 38, 41, 68, 76, 82, 164, 323, 646, 697, 779, 1292, 1394, 1558, 2788, 3116, 13243, 26486

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52964 and 52972. The biggest common factor number is the GCF number.
So the greatest common factor 52964 and 52972 is 4.

Also check out the Least Common Multiple of 52964 and 52972