What is the Greatest Common Factor of 12996 and 13011?

Greatest common factor (GCF) of 12996 and 13011 is 3.

GCF(12996,13011) = 3

We will now calculate the prime factors of 12996 and 13011, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12996 and 13011.

How to find the GCF of 12996 and 13011?

We will first find the prime factorization of 12996 and 13011. After we will calculate the factors of 12996 and 13011 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 13011

Prime factors of 13011 are 3, 4337. Prime factorization of 13011 in exponential form is:

13011 = 3¹ × 4337¹

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 13011

List of positive integer factors of 13011 that divides 12996 without a remainder.

1, 3, 4337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12996 and 13011. The biggest common factor number is the GCF number.
So the greatest common factor 12996 and 13011 is 3.

Also check out the Least Common Multiple of 12996 and 13011