What is the Greatest Common Factor of 12516 and 12525?

Greatest common factor (GCF) of 12516 and 12525 is 3.

GCF(12516,12525) = 3

We will now calculate the prime factors of 12516 and 12525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12516 and 12525.

How to find the GCF of 12516 and 12525?

We will first find the prime factorization of 12516 and 12525. After we will calculate the factors of 12516 and 12525 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 12525

Prime factors of 12525 are 3, 5, 167. Prime factorization of 12525 in exponential form is:

12525 = 3¹ × 5² × 167¹

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 12525

List of positive integer factors of 12525 that divides 12516 without a remainder.

1, 3, 5, 15, 25, 75, 167, 501, 835, 2505, 4175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12516 and 12525. The biggest common factor number is the GCF number.
So the greatest common factor 12516 and 12525 is 3.

Also check out the Least Common Multiple of 12516 and 12525