What is the Greatest Common Factor of 12997 and 13001?

Greatest common factor (GCF) of 12997 and 13001 is 1.

GCF(12997,13001) = 1

We will now calculate the prime factors of 12997 and 13001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12997 and 13001.

How to find the GCF of 12997 and 13001?

We will first find the prime factorization of 12997 and 13001. After we will calculate the factors of 12997 and 13001 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 13001

Prime factors of 13001 are 13001. Prime factorization of 13001 in exponential form is:

13001 = 13001¹

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 13001

List of positive integer factors of 13001 that divides 12997 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12997 and 13001. The biggest common factor number is the GCF number.
So the greatest common factor 12997 and 13001 is 1.

Also check out the Least Common Multiple of 12997 and 13001