What is the Greatest Common Factor of 22554 and 22569?

Greatest common factor (GCF) of 22554 and 22569 is 3.

GCF(22554,22569) = 3

We will now calculate the prime factors of 22554 and 22569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22554 and 22569.

How to find the GCF of 22554 and 22569?

We will first find the prime factorization of 22554 and 22569. After we will calculate the factors of 22554 and 22569 and find the biggest common factor number .

Step-1: Prime Factorization of 22554

Prime factors of 22554 are 2, 3, 7, 179. Prime factorization of 22554 in exponential form is:

22554 = 2¹ × 3² × 7¹ × 179¹

Step-2: Prime Factorization of 22569

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

22569 = 3¹ × 7523¹

Step-3: Factors of 22554

List of positive integer factors of 22554 that divides 22554 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 179, 358, 537, 1074, 1253, 1611, 2506, 3222, 3759, 7518, 11277

Step-4: Factors of 22569

List of positive integer factors of 22569 that divides 22554 without a remainder.

1, 3, 7523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22554 and 22569. The biggest common factor number is the GCF number.
So the greatest common factor 22554 and 22569 is 3.

Also check out the Least Common Multiple of 22554 and 22569