What is the Greatest Common Factor of 12509 and 12521?

Greatest common factor (GCF) of 12509 and 12521 is 1.

GCF(12509,12521) = 1

We will now calculate the prime factors of 12509 and 12521, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12509 and 12521.

How to find the GCF of 12509 and 12521?

We will first find the prime factorization of 12509 and 12521. After we will calculate the factors of 12509 and 12521 and find the biggest common factor number .

Step-1: Prime Factorization of 12509

Prime factors of 12509 are 7, 1787. Prime factorization of 12509 in exponential form is:

12509 = 7¹ × 1787¹

Step-2: Prime Factorization of 12521

Prime factors of 12521 are 19, 659. Prime factorization of 12521 in exponential form is:

12521 = 19¹ × 659¹

Step-3: Factors of 12509

List of positive integer factors of 12509 that divides 12509 without a remainder.

1, 7, 1787

Step-4: Factors of 12521

List of positive integer factors of 12521 that divides 12509 without a remainder.

1, 19, 659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12509 and 12521. The biggest common factor number is the GCF number.
So the greatest common factor 12509 and 12521 is 1.

Also check out the Least Common Multiple of 12509 and 12521