What is the Greatest Common Factor of 12502 and 12507?

Greatest common factor (GCF) of 12502 and 12507 is 1.

GCF(12502,12507) = 1

We will now calculate the prime factors of 12502 and 12507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12502 and 12507.

How to find the GCF of 12502 and 12507?

We will first find the prime factorization of 12502 and 12507. After we will calculate the factors of 12502 and 12507 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 12507

Prime factors of 12507 are 3, 11, 379. Prime factorization of 12507 in exponential form is:

12507 = 3¹ × 11¹ × 379¹

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 12507

List of positive integer factors of 12507 that divides 12502 without a remainder.

1, 3, 11, 33, 379, 1137, 4169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12502 and 12507. The biggest common factor number is the GCF number.
So the greatest common factor 12502 and 12507 is 1.

Also check out the Least Common Multiple of 12502 and 12507