What is the Greatest Common Factor of 22272 and 22288?

Greatest common factor (GCF) of 22272 and 22288 is 16.

GCF(22272,22288) = 16

We will now calculate the prime factors of 22272 and 22288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22272 and 22288.

How to find the GCF of 22272 and 22288?

We will first find the prime factorization of 22272 and 22288. After we will calculate the factors of 22272 and 22288 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 22288

Prime factors of 22288 are 2, 7, 199. Prime factorization of 22288 in exponential form is:

22288 = 2⁴ × 7¹ × 199¹

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 22288

List of positive integer factors of 22288 that divides 22272 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 199, 398, 796, 1393, 1592, 2786, 3184, 5572, 11144

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22272 and 22288. The biggest common factor number is the GCF number.
So the greatest common factor 22272 and 22288 is 16.

Also check out the Least Common Multiple of 22272 and 22288