What is the Greatest Common Factor of 52508 and 52521?

Greatest common factor (GCF) of 52508 and 52521 is 1.

GCF(52508,52521) = 1

We will now calculate the prime factors of 52508 and 52521, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52508 and 52521.

How to find the GCF of 52508 and 52521?

We will first find the prime factorization of 52508 and 52521. After we will calculate the factors of 52508 and 52521 and find the biggest common factor number .

Step-1: Prime Factorization of 52508

Prime factors of 52508 are 2, 13127. Prime factorization of 52508 in exponential form is:

52508 = 2² × 13127¹

Step-2: Prime Factorization of 52521

Prime factors of 52521 are 3, 7, 41, 61. Prime factorization of 52521 in exponential form is:

52521 = 3¹ × 7¹ × 41¹ × 61¹

Step-3: Factors of 52508

List of positive integer factors of 52508 that divides 52508 without a remainder.

1, 2, 4, 13127, 26254

Step-4: Factors of 52521

List of positive integer factors of 52521 that divides 52508 without a remainder.

1, 3, 7, 21, 41, 61, 123, 183, 287, 427, 861, 1281, 2501, 7503, 17507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52508 and 52521. The biggest common factor number is the GCF number.
So the greatest common factor 52508 and 52521 is 1.

Also check out the Least Common Multiple of 52508 and 52521