What is the Greatest Common Factor of 22689 and 22700?

Greatest common factor (GCF) of 22689 and 22700 is 1.

GCF(22689,22700) = 1

We will now calculate the prime factors of 22689 and 22700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22689 and 22700.

How to find the GCF of 22689 and 22700?

We will first find the prime factorization of 22689 and 22700. After we will calculate the factors of 22689 and 22700 and find the biggest common factor number .

Step-1: Prime Factorization of 22689

Prime factors of 22689 are 3, 2521. Prime factorization of 22689 in exponential form is:

22689 = 3² × 2521¹

Step-2: Prime Factorization of 22700

Prime factors of 22700 are 2, 5, 227. Prime factorization of 22700 in exponential form is:

22700 = 2² × 5² × 227¹

Step-3: Factors of 22689

List of positive integer factors of 22689 that divides 22689 without a remainder.

1, 3, 9, 2521, 7563

Step-4: Factors of 22700

List of positive integer factors of 22700 that divides 22689 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 227, 454, 908, 1135, 2270, 4540, 5675, 11350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22689 and 22700. The biggest common factor number is the GCF number.
So the greatest common factor 22689 and 22700 is 1.

Also check out the Least Common Multiple of 22689 and 22700