What is the Greatest Common Factor of 22997 and 23012?

Greatest common factor (GCF) of 22997 and 23012 is 1.

GCF(22997,23012) = 1

We will now calculate the prime factors of 22997 and 23012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22997 and 23012.

How to find the GCF of 22997 and 23012?

We will first find the prime factorization of 22997 and 23012. After we will calculate the factors of 22997 and 23012 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 23012

Prime factors of 23012 are 2, 11, 523. Prime factorization of 23012 in exponential form is:

23012 = 2² × 11¹ × 523¹

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 23012

List of positive integer factors of 23012 that divides 22997 without a remainder.

1, 2, 4, 11, 22, 44, 523, 1046, 2092, 5753, 11506

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22997 and 23012. The biggest common factor number is the GCF number.
So the greatest common factor 22997 and 23012 is 1.

Also check out the Least Common Multiple of 22997 and 23012