What is the Greatest Common Factor of 22959 and 22970?

Greatest common factor (GCF) of 22959 and 22970 is 1.

GCF(22959,22970) = 1

We will now calculate the prime factors of 22959 and 22970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22959 and 22970.

How to find the GCF of 22959 and 22970?

We will first find the prime factorization of 22959 and 22970. After we will calculate the factors of 22959 and 22970 and find the biggest common factor number .

Step-1: Prime Factorization of 22959

Prime factors of 22959 are 3, 2551. Prime factorization of 22959 in exponential form is:

22959 = 3² × 2551¹

Step-2: Prime Factorization of 22970

Prime factors of 22970 are 2, 5, 2297. Prime factorization of 22970 in exponential form is:

22970 = 2¹ × 5¹ × 2297¹

Step-3: Factors of 22959

List of positive integer factors of 22959 that divides 22959 without a remainder.

1, 3, 9, 2551, 7653

Step-4: Factors of 22970

List of positive integer factors of 22970 that divides 22959 without a remainder.

1, 2, 5, 10, 2297, 4594, 11485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22959 and 22970. The biggest common factor number is the GCF number.
So the greatest common factor 22959 and 22970 is 1.

Also check out the Least Common Multiple of 22959 and 22970