What is the Greatest Common Factor of 52509 and 52517?

Greatest common factor (GCF) of 52509 and 52517 is 1.

GCF(52509,52517) = 1

We will now calculate the prime factors of 52509 and 52517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52509 and 52517.

How to find the GCF of 52509 and 52517?

We will first find the prime factorization of 52509 and 52517. After we will calculate the factors of 52509 and 52517 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 52517

Prime factors of 52517 are 52517. Prime factorization of 52517 in exponential form is:

52517 = 52517¹

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 52517

List of positive integer factors of 52517 that divides 52509 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52509 and 52517. The biggest common factor number is the GCF number.
So the greatest common factor 52509 and 52517 is 1.

Also check out the Least Common Multiple of 52509 and 52517