What is the Greatest Common Factor of 22893 and 22900?

Greatest common factor (GCF) of 22893 and 22900 is 1.

GCF(22893,22900) = 1

We will now calculate the prime factors of 22893 and 22900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22893 and 22900.

How to find the GCF of 22893 and 22900?

We will first find the prime factorization of 22893 and 22900. After we will calculate the factors of 22893 and 22900 and find the biggest common factor number .

Step-1: Prime Factorization of 22893

Prime factors of 22893 are 3, 13, 587. Prime factorization of 22893 in exponential form is:

22893 = 3¹ × 13¹ × 587¹

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 22893

List of positive integer factors of 22893 that divides 22893 without a remainder.

1, 3, 13, 39, 587, 1761, 7631

Step-4: Factors of 22900

List of positive integer factors of 22900 that divides 22893 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 22893 and 22900. The biggest common factor number is the GCF number.
So the greatest common factor 22893 and 22900 is 1.

Also check out the Least Common Multiple of 22893 and 22900