What is the Greatest Common Factor of 12996 and 13015?

Greatest common factor (GCF) of 12996 and 13015 is 19.

GCF(12996,13015) = 19

We will now calculate the prime factors of 12996 and 13015, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12996 and 13015.

How to find the GCF of 12996 and 13015?

We will first find the prime factorization of 12996 and 13015. After we will calculate the factors of 12996 and 13015 and find the biggest common factor number .

Step-1: Prime Factorization of 12996

Prime factors of 12996 are 2, 3, 19. Prime factorization of 12996 in exponential form is:

12996 = 2² × 3² × 19²

Step-2: Prime Factorization of 13015

Prime factors of 13015 are 5, 19, 137. Prime factorization of 13015 in exponential form is:

13015 = 5¹ × 19¹ × 137¹

Step-3: Factors of 12996

List of positive integer factors of 12996 that divides 12996 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 361, 684, 722, 1083, 1444, 2166, 3249, 4332, 6498

Step-4: Factors of 13015

List of positive integer factors of 13015 that divides 12996 without a remainder.

1, 5, 19, 95, 137, 685, 2603

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12996 and 13015. The biggest common factor number is the GCF number.
So the greatest common factor 12996 and 13015 is 19.

Also check out the Least Common Multiple of 12996 and 13015