What is the Greatest Common Factor of 22536 and 22554?

Greatest common factor (GCF) of 22536 and 22554 is 18.

GCF(22536,22554) = 18

We will now calculate the prime factors of 22536 and 22554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22536 and 22554.

How to find the GCF of 22536 and 22554?

We will first find the prime factorization of 22536 and 22554. After we will calculate the factors of 22536 and 22554 and find the biggest common factor number .

Step-1: Prime Factorization of 22536

Prime factors of 22536 are 2, 3, 313. Prime factorization of 22536 in exponential form is:

22536 = 2³ × 3² × 313¹

Step-2: 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-3: Factors of 22536

List of positive integer factors of 22536 that divides 22536 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 313, 626, 939, 1252, 1878, 2504, 2817, 3756, 5634, 7512, 11268

Step-4: Factors of 22554

List of positive integer factors of 22554 that divides 22536 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22536 and 22554. The biggest common factor number is the GCF number.
So the greatest common factor 22536 and 22554 is 18.

Also check out the Least Common Multiple of 22536 and 22554