What is the Greatest Common Factor of 22979 and 22997?

Greatest common factor (GCF) of 22979 and 22997 is 1.

GCF(22979,22997) = 1

We will now calculate the prime factors of 22979 and 22997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22979 and 22997.

How to find the GCF of 22979 and 22997?

We will first find the prime factorization of 22979 and 22997. After we will calculate the factors of 22979 and 22997 and find the biggest common factor number .

Step-1: Prime Factorization of 22979

Prime factors of 22979 are 11, 2089. Prime factorization of 22979 in exponential form is:

22979 = 11¹ × 2089¹

Step-2: Prime Factorization of 22997

Prime factors of 22997 are 13, 29, 61. Prime factorization of 22997 in exponential form is:

22997 = 13¹ × 29¹ × 61¹

Step-3: Factors of 22979

List of positive integer factors of 22979 that divides 22979 without a remainder.

1, 11, 2089

Step-4: Factors of 22997

List of positive integer factors of 22997 that divides 22979 without a remainder.

1, 13, 29, 61, 377, 793, 1769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22979 and 22997. The biggest common factor number is the GCF number.
So the greatest common factor 22979 and 22997 is 1.

Also check out the Least Common Multiple of 22979 and 22997