What is the Greatest Common Factor of 22272 and 22278?

Greatest common factor (GCF) of 22272 and 22278 is 6.

GCF(22272,22278) = 6

We will now calculate the prime factors of 22272 and 22278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22272 and 22278.

How to find the GCF of 22272 and 22278?

We will first find the prime factorization of 22272 and 22278. After we will calculate the factors of 22272 and 22278 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 22278

Prime factors of 22278 are 2, 3, 47, 79. Prime factorization of 22278 in exponential form is:

22278 = 2¹ × 3¹ × 47¹ × 79¹

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 22278

List of positive integer factors of 22278 that divides 22272 without a remainder.

1, 2, 3, 6, 47, 79, 94, 141, 158, 237, 282, 474, 3713, 7426, 11139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22272 and 22278. The biggest common factor number is the GCF number.
So the greatest common factor 22272 and 22278 is 6.

Also check out the Least Common Multiple of 22272 and 22278