What is the Greatest Common Factor of 22536 and 22552?

Greatest common factor (GCF) of 22536 and 22552 is 8.

GCF(22536,22552) = 8

We will now calculate the prime factors of 22536 and 22552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22536 and 22552.

How to find the GCF of 22536 and 22552?

We will first find the prime factorization of 22536 and 22552. After we will calculate the factors of 22536 and 22552 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 22552

Prime factors of 22552 are 2, 2819. Prime factorization of 22552 in exponential form is:

22552 = 2³ × 2819¹

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 22552

List of positive integer factors of 22552 that divides 22536 without a remainder.

1, 2, 4, 8, 2819, 5638, 11276

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22536 and 22552. The biggest common factor number is the GCF number.
So the greatest common factor 22536 and 22552 is 8.

Also check out the Least Common Multiple of 22536 and 22552