What is the Greatest Common Factor of 22923 and 22938?

Greatest common factor (GCF) of 22923 and 22938 is 3.

GCF(22923,22938) = 3

We will now calculate the prime factors of 22923 and 22938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22923 and 22938.

How to find the GCF of 22923 and 22938?

We will first find the prime factorization of 22923 and 22938. After we will calculate the factors of 22923 and 22938 and find the biggest common factor number .

Step-1: Prime Factorization of 22923

Prime factors of 22923 are 3, 283. Prime factorization of 22923 in exponential form is:

22923 = 3⁴ × 283¹

Step-2: Prime Factorization of 22938

Prime factors of 22938 are 2, 3, 3823. Prime factorization of 22938 in exponential form is:

22938 = 2¹ × 3¹ × 3823¹

Step-3: Factors of 22923

List of positive integer factors of 22923 that divides 22923 without a remainder.

1, 3, 9, 27, 81, 283, 849, 2547, 7641

Step-4: Factors of 22938

List of positive integer factors of 22938 that divides 22923 without a remainder.

1, 2, 3, 6, 3823, 7646, 11469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22923 and 22938. The biggest common factor number is the GCF number.
So the greatest common factor 22923 and 22938 is 3.

Also check out the Least Common Multiple of 22923 and 22938