What is the Greatest Common Factor of 52544 and 52548?

Greatest common factor (GCF) of 52544 and 52548 is 4.

GCF(52544,52548) = 4

We will now calculate the prime factors of 52544 and 52548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52544 and 52548.

How to find the GCF of 52544 and 52548?

We will first find the prime factorization of 52544 and 52548. After we will calculate the factors of 52544 and 52548 and find the biggest common factor number .

Step-1: Prime Factorization of 52544

Prime factors of 52544 are 2, 821. Prime factorization of 52544 in exponential form is:

52544 = 2⁶ × 821¹

Step-2: Prime Factorization of 52548

Prime factors of 52548 are 2, 3, 29, 151. Prime factorization of 52548 in exponential form is:

52548 = 2² × 3¹ × 29¹ × 151¹

Step-3: Factors of 52544

List of positive integer factors of 52544 that divides 52544 without a remainder.

1, 2, 4, 8, 16, 32, 64, 821, 1642, 3284, 6568, 13136, 26272

Step-4: Factors of 52548

List of positive integer factors of 52548 that divides 52544 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 151, 174, 302, 348, 453, 604, 906, 1812, 4379, 8758, 13137, 17516, 26274

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52544 and 52548. The biggest common factor number is the GCF number.
So the greatest common factor 52544 and 52548 is 4.

Also check out the Least Common Multiple of 52544 and 52548