What is the Greatest Common Factor of 22913 and 22924?

Greatest common factor (GCF) of 22913 and 22924 is 11.

GCF(22913,22924) = 11

We will now calculate the prime factors of 22913 and 22924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22913 and 22924.

How to find the GCF of 22913 and 22924?

We will first find the prime factorization of 22913 and 22924. After we will calculate the factors of 22913 and 22924 and find the biggest common factor number .

Step-1: Prime Factorization of 22913

Prime factors of 22913 are 11, 2083. Prime factorization of 22913 in exponential form is:

22913 = 11¹ × 2083¹

Step-2: Prime Factorization of 22924

Prime factors of 22924 are 2, 11, 521. Prime factorization of 22924 in exponential form is:

22924 = 2² × 11¹ × 521¹

Step-3: Factors of 22913

List of positive integer factors of 22913 that divides 22913 without a remainder.

1, 11, 2083

Step-4: Factors of 22924

List of positive integer factors of 22924 that divides 22913 without a remainder.

1, 2, 4, 11, 22, 44, 521, 1042, 2084, 5731, 11462

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22913 and 22924. The biggest common factor number is the GCF number.
So the greatest common factor 22913 and 22924 is 11.

Also check out the Least Common Multiple of 22913 and 22924