What is the Greatest Common Factor of 22923 and 22929?

Greatest common factor (GCF) of 22923 and 22929 is 3.

GCF(22923,22929) = 3

We will now calculate the prime factors of 22923 and 22929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22923 and 22929.

How to find the GCF of 22923 and 22929?

We will first find the prime factorization of 22923 and 22929. After we will calculate the factors of 22923 and 22929 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 22929

Prime factors of 22929 are 3, 7643. Prime factorization of 22929 in exponential form is:

22929 = 3¹ × 7643¹

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 22929

List of positive integer factors of 22929 that divides 22923 without a remainder.

1, 3, 7643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22923 and 22929. The biggest common factor number is the GCF number.
So the greatest common factor 22923 and 22929 is 3.

Also check out the Least Common Multiple of 22923 and 22929