What is the Greatest Common Factor of 22900 and 22913?

Greatest common factor (GCF) of 22900 and 22913 is 1.

GCF(22900,22913) = 1

We will now calculate the prime factors of 22900 and 22913, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22900 and 22913.

How to find the GCF of 22900 and 22913?

We will first find the prime factorization of 22900 and 22913. After we will calculate the factors of 22900 and 22913 and find the biggest common factor number .

Step-1: Prime Factorization of 22900

Prime factors of 22900 are 2, 5, 229. Prime factorization of 22900 in exponential form is:

22900 = 2² × 5² × 229¹

Step-2: Prime Factorization of 22913

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

22913 = 11¹ × 2083¹

Step-3: Factors of 22900

List of positive integer factors of 22900 that divides 22900 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 229, 458, 916, 1145, 2290, 4580, 5725, 11450

Step-4: Factors of 22913

List of positive integer factors of 22913 that divides 22900 without a remainder.

1, 11, 2083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22900 and 22913. The biggest common factor number is the GCF number.
So the greatest common factor 22900 and 22913 is 1.

Also check out the Least Common Multiple of 22900 and 22913