What is the Greatest Common Factor of 12516 and 12530?

Greatest common factor (GCF) of 12516 and 12530 is 14.

GCF(12516,12530) = 14

We will now calculate the prime factors of 12516 and 12530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12516 and 12530.

How to find the GCF of 12516 and 12530?

We will first find the prime factorization of 12516 and 12530. After we will calculate the factors of 12516 and 12530 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 12530

Prime factors of 12530 are 2, 5, 7, 179. Prime factorization of 12530 in exponential form is:

12530 = 2¹ × 5¹ × 7¹ × 179¹

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 12530

List of positive integer factors of 12530 that divides 12516 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 179, 358, 895, 1253, 1790, 2506, 6265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12516 and 12530. The biggest common factor number is the GCF number.
So the greatest common factor 12516 and 12530 is 14.

Also check out the Least Common Multiple of 12516 and 12530