What is the Greatest Common Factor of 52524 and 52544?

Greatest common factor (GCF) of 52524 and 52544 is 4.

GCF(52524,52544) = 4

We will now calculate the prime factors of 52524 and 52544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52524 and 52544.

How to find the GCF of 52524 and 52544?

We will first find the prime factorization of 52524 and 52544. After we will calculate the factors of 52524 and 52544 and find the biggest common factor number .

Step-1: Prime Factorization of 52524

Prime factors of 52524 are 2, 3, 1459. Prime factorization of 52524 in exponential form is:

52524 = 2² × 3² × 1459¹

Step-2: Prime Factorization of 52544

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

52544 = 2⁶ × 821¹

Step-3: Factors of 52524

List of positive integer factors of 52524 that divides 52524 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1459, 2918, 4377, 5836, 8754, 13131, 17508, 26262

Step-4: Factors of 52544

List of positive integer factors of 52544 that divides 52524 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52524 and 52544. The biggest common factor number is the GCF number.
So the greatest common factor 52524 and 52544 is 4.

Also check out the Least Common Multiple of 52524 and 52544