What is the Greatest Common Factor of 12979 and 12997?

Greatest common factor (GCF) of 12979 and 12997 is 1.

GCF(12979,12997) = 1

We will now calculate the prime factors of 12979 and 12997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12979 and 12997.

How to find the GCF of 12979 and 12997?

We will first find the prime factorization of 12979 and 12997. After we will calculate the factors of 12979 and 12997 and find the biggest common factor number .

Step-1: Prime Factorization of 12979

Prime factors of 12979 are 12979. Prime factorization of 12979 in exponential form is:

12979 = 12979¹

Step-2: Prime Factorization of 12997

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

12997 = 41¹ × 317¹

Step-3: Factors of 12979

List of positive integer factors of 12979 that divides 12979 without a remainder.

Step-4: Factors of 12997

List of positive integer factors of 12997 that divides 12979 without a remainder.

1, 41, 317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12979 and 12997. The biggest common factor number is the GCF number.
So the greatest common factor 12979 and 12997 is 1.

Also check out the Least Common Multiple of 12979 and 12997