What is the Greatest Common Factor of 22976 and 22989?

Greatest common factor (GCF) of 22976 and 22989 is 1.

GCF(22976,22989) = 1

We will now calculate the prime factors of 22976 and 22989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22976 and 22989.

How to find the GCF of 22976 and 22989?

We will first find the prime factorization of 22976 and 22989. After we will calculate the factors of 22976 and 22989 and find the biggest common factor number .

Step-1: Prime Factorization of 22976

Prime factors of 22976 are 2, 359. Prime factorization of 22976 in exponential form is:

22976 = 2⁶ × 359¹

Step-2: Prime Factorization of 22989

Prime factors of 22989 are 3, 79, 97. Prime factorization of 22989 in exponential form is:

22989 = 3¹ × 79¹ × 97¹

Step-3: Factors of 22976

List of positive integer factors of 22976 that divides 22976 without a remainder.

1, 2, 4, 8, 16, 32, 64, 359, 718, 1436, 2872, 5744, 11488

Step-4: Factors of 22989

List of positive integer factors of 22989 that divides 22976 without a remainder.

1, 3, 79, 97, 237, 291, 7663

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22976 and 22989. The biggest common factor number is the GCF number.
So the greatest common factor 22976 and 22989 is 1.

Also check out the Least Common Multiple of 22976 and 22989