What is the Greatest Common Factor of 52524 and 52539?

Greatest common factor (GCF) of 52524 and 52539 is 3.

GCF(52524,52539) = 3

We will now calculate the prime factors of 52524 and 52539, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52524 and 52539.

How to find the GCF of 52524 and 52539?

We will first find the prime factorization of 52524 and 52539. After we will calculate the factors of 52524 and 52539 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 52539

Prime factors of 52539 are 3, 83, 211. Prime factorization of 52539 in exponential form is:

52539 = 3¹ × 83¹ × 211¹

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 52539

List of positive integer factors of 52539 that divides 52524 without a remainder.

1, 3, 83, 211, 249, 633, 17513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52524 and 52539. The biggest common factor number is the GCF number.
So the greatest common factor 52524 and 52539 is 3.

Also check out the Least Common Multiple of 52524 and 52539