What is the Greatest Common Factor of 22959 and 22977?

Greatest common factor (GCF) of 22959 and 22977 is 9.

GCF(22959,22977) = 9

We will now calculate the prime factors of 22959 and 22977, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22959 and 22977.

How to find the GCF of 22959 and 22977?

We will first find the prime factorization of 22959 and 22977. After we will calculate the factors of 22959 and 22977 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 22977

Prime factors of 22977 are 3, 23, 37. Prime factorization of 22977 in exponential form is:

22977 = 3³ × 23¹ × 37¹

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 22977

List of positive integer factors of 22977 that divides 22959 without a remainder.

1, 3, 9, 23, 27, 37, 69, 111, 207, 333, 621, 851, 999, 2553, 7659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22959 and 22977. The biggest common factor number is the GCF number.
So the greatest common factor 22959 and 22977 is 9.

Also check out the Least Common Multiple of 22959 and 22977