What is the Greatest Common Factor of 12516 and 12523?

Greatest common factor (GCF) of 12516 and 12523 is 7.

GCF(12516,12523) = 7

We will now calculate the prime factors of 12516 and 12523, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12516 and 12523.

How to find the GCF of 12516 and 12523?

We will first find the prime factorization of 12516 and 12523. After we will calculate the factors of 12516 and 12523 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 12523

Prime factors of 12523 are 7, 1789. Prime factorization of 12523 in exponential form is:

12523 = 7¹ × 1789¹

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 12523

List of positive integer factors of 12523 that divides 12516 without a remainder.

1, 7, 1789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12516 and 12523. The biggest common factor number is the GCF number.
So the greatest common factor 12516 and 12523 is 7.

Also check out the Least Common Multiple of 12516 and 12523