What is the Greatest Common Factor of 12996 and 13014?

Greatest common factor (GCF) of 12996 and 13014 is 18.

GCF(12996,13014) = 18

We will now calculate the prime factors of 12996 and 13014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12996 and 13014.

How to find the GCF of 12996 and 13014?

We will first find the prime factorization of 12996 and 13014. After we will calculate the factors of 12996 and 13014 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 13014

Prime factors of 13014 are 2, 3, 241. Prime factorization of 13014 in exponential form is:

13014 = 2¹ × 3³ × 241¹

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 13014

List of positive integer factors of 13014 that divides 12996 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 241, 482, 723, 1446, 2169, 4338, 6507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12996 and 13014. The biggest common factor number is the GCF number.
So the greatest common factor 12996 and 13014 is 18.

Also check out the Least Common Multiple of 12996 and 13014