What is the Greatest Common Factor of 52509 and 52524?

Greatest common factor (GCF) of 52509 and 52524 is 3.

GCF(52509,52524) = 3

We will now calculate the prime factors of 52509 and 52524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52509 and 52524.

How to find the GCF of 52509 and 52524?

We will first find the prime factorization of 52509 and 52524. After we will calculate the factors of 52509 and 52524 and find the biggest common factor number .

Step-1: Prime Factorization of 52509

Prime factors of 52509 are 3, 23, 761. Prime factorization of 52509 in exponential form is:

52509 = 3¹ × 23¹ × 761¹

Step-2: 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-3: Factors of 52509

List of positive integer factors of 52509 that divides 52509 without a remainder.

1, 3, 23, 69, 761, 2283, 17503

Step-4: Factors of 52524

List of positive integer factors of 52524 that divides 52509 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52509 and 52524. The biggest common factor number is the GCF number.
So the greatest common factor 52509 and 52524 is 3.

Also check out the Least Common Multiple of 52509 and 52524