What is the Greatest Common Factor of 22929 and 22944?

Greatest common factor (GCF) of 22929 and 22944 is 3.

GCF(22929,22944) = 3

We will now calculate the prime factors of 22929 and 22944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22929 and 22944.

How to find the GCF of 22929 and 22944?

We will first find the prime factorization of 22929 and 22944. After we will calculate the factors of 22929 and 22944 and find the biggest common factor number .

Step-1: Prime Factorization of 22929

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

22929 = 3¹ × 7643¹

Step-2: Prime Factorization of 22944

Prime factors of 22944 are 2, 3, 239. Prime factorization of 22944 in exponential form is:

22944 = 2⁵ × 3¹ × 239¹

Step-3: Factors of 22929

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

1, 3, 7643

Step-4: Factors of 22944

List of positive integer factors of 22944 that divides 22929 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 239, 478, 717, 956, 1434, 1912, 2868, 3824, 5736, 7648, 11472

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22929 and 22944. The biggest common factor number is the GCF number.
So the greatest common factor 22929 and 22944 is 3.

Also check out the Least Common Multiple of 22929 and 22944