What is the Greatest Common Factor of 22926 and 22941?

Greatest common factor (GCF) of 22926 and 22941 is 3.

GCF(22926,22941) = 3

We will now calculate the prime factors of 22926 and 22941, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22926 and 22941.

How to find the GCF of 22926 and 22941?

We will first find the prime factorization of 22926 and 22941. After we will calculate the factors of 22926 and 22941 and find the biggest common factor number .

Step-1: Prime Factorization of 22926

Prime factors of 22926 are 2, 3, 3821. Prime factorization of 22926 in exponential form is:

22926 = 2¹ × 3¹ × 3821¹

Step-2: Prime Factorization of 22941

Prime factors of 22941 are 3, 2549. Prime factorization of 22941 in exponential form is:

22941 = 3² × 2549¹

Step-3: Factors of 22926

List of positive integer factors of 22926 that divides 22926 without a remainder.

1, 2, 3, 6, 3821, 7642, 11463

Step-4: Factors of 22941

List of positive integer factors of 22941 that divides 22926 without a remainder.

1, 3, 9, 2549, 7647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22926 and 22941. The biggest common factor number is the GCF number.
So the greatest common factor 22926 and 22941 is 3.

Also check out the Least Common Multiple of 22926 and 22941