What is the Greatest Common Factor of 22689 and 22709?

Greatest common factor (GCF) of 22689 and 22709 is 1.

GCF(22689,22709) = 1

We will now calculate the prime factors of 22689 and 22709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22689 and 22709.

How to find the GCF of 22689 and 22709?

We will first find the prime factorization of 22689 and 22709. After we will calculate the factors of 22689 and 22709 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 22709

Prime factors of 22709 are 22709. Prime factorization of 22709 in exponential form is:

22709 = 22709¹

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 22709

List of positive integer factors of 22709 that divides 22689 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22689 and 22709. The biggest common factor number is the GCF number.
So the greatest common factor 22689 and 22709 is 1.

Also check out the Least Common Multiple of 22689 and 22709