What is the Greatest Common Factor of 22997 and 23006?

Greatest common factor (GCF) of 22997 and 23006 is 1.

GCF(22997,23006) = 1

We will now calculate the prime factors of 22997 and 23006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22997 and 23006.

How to find the GCF of 22997 and 23006?

We will first find the prime factorization of 22997 and 23006. After we will calculate the factors of 22997 and 23006 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23006

Prime factors of 23006 are 2, 11503. Prime factorization of 23006 in exponential form is:

23006 = 2¹ × 11503¹

Step-3: Factors of 22997

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

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

Step-4: Factors of 23006

List of positive integer factors of 23006 that divides 22997 without a remainder.

1, 2, 11503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22997 and 23006. The biggest common factor number is the GCF number.
So the greatest common factor 22997 and 23006 is 1.

Also check out the Least Common Multiple of 22997 and 23006