What is the Greatest Common Factor of 22257 and 22272?

Greatest common factor (GCF) of 22257 and 22272 is 3.

GCF(22257,22272) = 3

We will now calculate the prime factors of 22257 and 22272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22257 and 22272.

How to find the GCF of 22257 and 22272?

We will first find the prime factorization of 22257 and 22272. After we will calculate the factors of 22257 and 22272 and find the biggest common factor number .

Step-1: Prime Factorization of 22257

Prime factors of 22257 are 3, 2473. Prime factorization of 22257 in exponential form is:

22257 = 3² × 2473¹

Step-2: 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-3: Factors of 22257

List of positive integer factors of 22257 that divides 22257 without a remainder.

1, 3, 9, 2473, 7419

Step-4: Factors of 22272

List of positive integer factors of 22272 that divides 22257 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22257 and 22272. The biggest common factor number is the GCF number.
So the greatest common factor 22257 and 22272 is 3.

Also check out the Least Common Multiple of 22257 and 22272