What is the Greatest Common Factor of 22545 and 22563?

Greatest common factor (GCF) of 22545 and 22563 is 9.

GCF(22545,22563) = 9

We will now calculate the prime factors of 22545 and 22563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22545 and 22563.

How to find the GCF of 22545 and 22563?

We will first find the prime factorization of 22545 and 22563. After we will calculate the factors of 22545 and 22563 and find the biggest common factor number .

Step-1: Prime Factorization of 22545

Prime factors of 22545 are 3, 5, 167. Prime factorization of 22545 in exponential form is:

22545 = 3³ × 5¹ × 167¹

Step-2: Prime Factorization of 22563

Prime factors of 22563 are 3, 23, 109. Prime factorization of 22563 in exponential form is:

22563 = 3² × 23¹ × 109¹

Step-3: Factors of 22545

List of positive integer factors of 22545 that divides 22545 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 167, 501, 835, 1503, 2505, 4509, 7515

Step-4: Factors of 22563

List of positive integer factors of 22563 that divides 22545 without a remainder.

1, 3, 9, 23, 69, 109, 207, 327, 981, 2507, 7521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22545 and 22563. The biggest common factor number is the GCF number.
So the greatest common factor 22545 and 22563 is 9.

Also check out the Least Common Multiple of 22545 and 22563