What is the Greatest Common Factor of 22569 and 22581?

Greatest common factor (GCF) of 22569 and 22581 is 3.

GCF(22569,22581) = 3

We will now calculate the prime factors of 22569 and 22581, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22569 and 22581.

How to find the GCF of 22569 and 22581?

We will first find the prime factorization of 22569 and 22581. After we will calculate the factors of 22569 and 22581 and find the biggest common factor number .

Step-1: Prime Factorization of 22569

Prime factors of 22569 are 3, 7523. Prime factorization of 22569 in exponential form is:

22569 = 3¹ × 7523¹

Step-2: Prime Factorization of 22581

Prime factors of 22581 are 3, 13, 193. Prime factorization of 22581 in exponential form is:

22581 = 3² × 13¹ × 193¹

Step-3: Factors of 22569

List of positive integer factors of 22569 that divides 22569 without a remainder.

1, 3, 7523

Step-4: Factors of 22581

List of positive integer factors of 22581 that divides 22569 without a remainder.

1, 3, 9, 13, 39, 117, 193, 579, 1737, 2509, 7527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22569 and 22581. The biggest common factor number is the GCF number.
So the greatest common factor 22569 and 22581 is 3.

Also check out the Least Common Multiple of 22569 and 22581