What is the Greatest Common Factor of 22557 and 22572?

Greatest common factor (GCF) of 22557 and 22572 is 3.

GCF(22557,22572) = 3

We will now calculate the prime factors of 22557 and 22572, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22557 and 22572.

How to find the GCF of 22557 and 22572?

We will first find the prime factorization of 22557 and 22572. After we will calculate the factors of 22557 and 22572 and find the biggest common factor number .

Step-1: Prime Factorization of 22557

Prime factors of 22557 are 3, 73, 103. Prime factorization of 22557 in exponential form is:

22557 = 3¹ × 73¹ × 103¹

Step-2: Prime Factorization of 22572

Prime factors of 22572 are 2, 3, 11, 19. Prime factorization of 22572 in exponential form is:

22572 = 2² × 3³ × 11¹ × 19¹

Step-3: Factors of 22557

List of positive integer factors of 22557 that divides 22557 without a remainder.

1, 3, 73, 103, 219, 309, 7519

Step-4: Factors of 22572

List of positive integer factors of 22572 that divides 22557 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 19, 22, 27, 33, 36, 38, 44, 54, 57, 66, 76, 99, 108, 114, 132, 171, 198, 209, 228, 297, 342, 396, 418, 513, 594, 627, 684, 836, 1026, 1188, 1254, 1881, 2052, 2508, 3762, 5643, 7524, 11286

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22557 and 22572. The biggest common factor number is the GCF number.
So the greatest common factor 22557 and 22572 is 3.

Also check out the Least Common Multiple of 22557 and 22572