What is the Greatest Common Factor of 22885 and 22900?

Greatest common factor (GCF) of 22885 and 22900 is 5.

GCF(22885,22900) = 5

We will now calculate the prime factors of 22885 and 22900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22885 and 22900.

How to find the GCF of 22885 and 22900?

We will first find the prime factorization of 22885 and 22900. After we will calculate the factors of 22885 and 22900 and find the biggest common factor number .

Step-1: Prime Factorization of 22885

Prime factors of 22885 are 5, 23, 199. Prime factorization of 22885 in exponential form is:

22885 = 5¹ × 23¹ × 199¹

Step-2: 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-3: Factors of 22885

List of positive integer factors of 22885 that divides 22885 without a remainder.

1, 5, 23, 115, 199, 995, 4577

Step-4: Factors of 22900

List of positive integer factors of 22900 that divides 22885 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22885 and 22900. The biggest common factor number is the GCF number.
So the greatest common factor 22885 and 22900 is 5.

Also check out the Least Common Multiple of 22885 and 22900