What is the Greatest Common Factor of 12509 and 12514?

Greatest common factor (GCF) of 12509 and 12514 is 1.

GCF(12509,12514) = 1

We will now calculate the prime factors of 12509 and 12514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12509 and 12514.

How to find the GCF of 12509 and 12514?

We will first find the prime factorization of 12509 and 12514. After we will calculate the factors of 12509 and 12514 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 12514

Prime factors of 12514 are 2, 6257. Prime factorization of 12514 in exponential form is:

12514 = 2¹ × 6257¹

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 12514

List of positive integer factors of 12514 that divides 12509 without a remainder.

1, 2, 6257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12509 and 12514. The biggest common factor number is the GCF number.
So the greatest common factor 12509 and 12514 is 1.

Also check out the Least Common Multiple of 12509 and 12514