What is the Greatest Common Factor of 12502 and 12509?

Greatest common factor (GCF) of 12502 and 12509 is 7.

GCF(12502,12509) = 7

We will now calculate the prime factors of 12502 and 12509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12502 and 12509.

How to find the GCF of 12502 and 12509?

We will first find the prime factorization of 12502 and 12509. After we will calculate the factors of 12502 and 12509 and find the biggest common factor number .

Step-1: Prime Factorization of 12502

Prime factors of 12502 are 2, 7, 19, 47. Prime factorization of 12502 in exponential form is:

12502 = 2¹ × 7¹ × 19¹ × 47¹

Step-2: Prime Factorization of 12509

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

12509 = 7¹ × 1787¹

Step-3: Factors of 12502

List of positive integer factors of 12502 that divides 12502 without a remainder.

1, 2, 7, 14, 19, 38, 47, 94, 133, 266, 329, 658, 893, 1786, 6251

Step-4: Factors of 12509

List of positive integer factors of 12509 that divides 12502 without a remainder.

1, 7, 1787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12502 and 12509. The biggest common factor number is the GCF number.
So the greatest common factor 12502 and 12509 is 7.

Also check out the Least Common Multiple of 12502 and 12509