What is the Greatest Common Factor of 22677 and 22689?

Greatest common factor (GCF) of 22677 and 22689 is 3.

GCF(22677,22689) = 3

We will now calculate the prime factors of 22677 and 22689, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22677 and 22689.

How to find the GCF of 22677 and 22689?

We will first find the prime factorization of 22677 and 22689. After we will calculate the factors of 22677 and 22689 and find the biggest common factor number .

Step-1: Prime Factorization of 22677

Prime factors of 22677 are 3, 7559. Prime factorization of 22677 in exponential form is:

22677 = 3¹ × 7559¹

Step-2: Prime Factorization of 22689

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

22689 = 3² × 2521¹

Step-3: Factors of 22677

List of positive integer factors of 22677 that divides 22677 without a remainder.

1, 3, 7559

Step-4: Factors of 22689

List of positive integer factors of 22689 that divides 22677 without a remainder.

1, 3, 9, 2521, 7563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22677 and 22689. The biggest common factor number is the GCF number.
So the greatest common factor 22677 and 22689 is 3.

Also check out the Least Common Multiple of 22677 and 22689