What is the Greatest Common Factor of 12516 and 12531?

Greatest common factor (GCF) of 12516 and 12531 is 3.

GCF(12516,12531) = 3

We will now calculate the prime factors of 12516 and 12531, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12516 and 12531.

How to find the GCF of 12516 and 12531?

We will first find the prime factorization of 12516 and 12531. After we will calculate the factors of 12516 and 12531 and find the biggest common factor number .

Step-1: Prime Factorization of 12516

Prime factors of 12516 are 2, 3, 7, 149. Prime factorization of 12516 in exponential form is:

12516 = 2² × 3¹ × 7¹ × 149¹

Step-2: Prime Factorization of 12531

Prime factors of 12531 are 3, 4177. Prime factorization of 12531 in exponential form is:

12531 = 3¹ × 4177¹

Step-3: Factors of 12516

List of positive integer factors of 12516 that divides 12516 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 149, 298, 447, 596, 894, 1043, 1788, 2086, 3129, 4172, 6258

Step-4: Factors of 12531

List of positive integer factors of 12531 that divides 12516 without a remainder.

1, 3, 4177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12516 and 12531. The biggest common factor number is the GCF number.
So the greatest common factor 12516 and 12531 is 3.

Also check out the Least Common Multiple of 12516 and 12531