What is the Greatest Common Factor of 22272 and 22284?

Greatest common factor (GCF) of 22272 and 22284 is 12.

GCF(22272,22284) = 12

We will now calculate the prime factors of 22272 and 22284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22272 and 22284.

How to find the GCF of 22272 and 22284?

We will first find the prime factorization of 22272 and 22284. After we will calculate the factors of 22272 and 22284 and find the biggest common factor number .

Step-1: Prime Factorization of 22272

Prime factors of 22272 are 2, 3, 29. Prime factorization of 22272 in exponential form is:

22272 = 2⁸ × 3¹ × 29¹

Step-2: Prime Factorization of 22284

Prime factors of 22284 are 2, 3, 619. Prime factorization of 22284 in exponential form is:

22284 = 2² × 3² × 619¹

Step-3: Factors of 22272

List of positive integer factors of 22272 that divides 22272 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 32, 48, 58, 64, 87, 96, 116, 128, 174, 192, 232, 256, 348, 384, 464, 696, 768, 928, 1392, 1856, 2784, 3712, 5568, 7424, 11136

Step-4: Factors of 22284

List of positive integer factors of 22284 that divides 22272 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 619, 1238, 1857, 2476, 3714, 5571, 7428, 11142

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22272 and 22284. The biggest common factor number is the GCF number.
So the greatest common factor 22272 and 22284 is 12.

Also check out the Least Common Multiple of 22272 and 22284