What is the Greatest Common Factor of 12997 and 13014?

Greatest common factor (GCF) of 12997 and 13014 is 1.

GCF(12997,13014) = 1

We will now calculate the prime factors of 12997 and 13014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12997 and 13014.

How to find the GCF of 12997 and 13014?

We will first find the prime factorization of 12997 and 13014. After we will calculate the factors of 12997 and 13014 and find the biggest common factor number .

Step-1: Prime Factorization of 12997

Prime factors of 12997 are 41, 317. Prime factorization of 12997 in exponential form is:

12997 = 41¹ × 317¹

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 12997

List of positive integer factors of 12997 that divides 12997 without a remainder.

1, 41, 317

Step-4: Factors of 13014

List of positive integer factors of 13014 that divides 12997 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 12997 and 13014. The biggest common factor number is the GCF number.
So the greatest common factor 12997 and 13014 is 1.

Also check out the Least Common Multiple of 12997 and 13014