What is the Greatest Common Factor of 22252 and 22272?

Greatest common factor (GCF) of 22252 and 22272 is 4.

GCF(22252,22272) = 4

We will now calculate the prime factors of 22252 and 22272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22252 and 22272.

How to find the GCF of 22252 and 22272?

We will first find the prime factorization of 22252 and 22272. After we will calculate the factors of 22252 and 22272 and find the biggest common factor number .

Step-1: Prime Factorization of 22252

Prime factors of 22252 are 2, 5563. Prime factorization of 22252 in exponential form is:

22252 = 2² × 5563¹

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 22252

List of positive integer factors of 22252 that divides 22252 without a remainder.

1, 2, 4, 5563, 11126

Step-4: Factors of 22272

List of positive integer factors of 22272 that divides 22252 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 22252 and 22272. The biggest common factor number is the GCF number.
So the greatest common factor 22252 and 22272 is 4.

Also check out the Least Common Multiple of 22252 and 22272