What is the Greatest Common Factor of 14256 and 14268?

Greatest common factor (GCF) of 14256 and 14268 is 12.

GCF(14256,14268) = 12

We will now calculate the prime factors of 14256 and 14268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14256 and 14268.

How to find the GCF of 14256 and 14268?

We will first find the prime factorization of 14256 and 14268. After we will calculate the factors of 14256 and 14268 and find the biggest common factor number .

Step-1: Prime Factorization of 14256

Prime factors of 14256 are 2, 3, 11. Prime factorization of 14256 in exponential form is:

14256 = 2⁴ × 3⁴ × 11¹

Step-2: Prime Factorization of 14268

Prime factors of 14268 are 2, 3, 29, 41. Prime factorization of 14268 in exponential form is:

14268 = 2² × 3¹ × 29¹ × 41¹

Step-3: Factors of 14256

List of positive integer factors of 14256 that divides 14256 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 33, 36, 44, 48, 54, 66, 72, 81, 88, 99, 108, 132, 144, 162, 176, 198, 216, 264, 297, 324, 396, 432, 528, 594, 648, 792, 891, 1188, 1296, 1584, 1782, 2376, 3564, 4752, 7128

Step-4: Factors of 14268

List of positive integer factors of 14268 that divides 14256 without a remainder.

1, 2, 3, 4, 6, 12, 29, 41, 58, 82, 87, 116, 123, 164, 174, 246, 348, 492, 1189, 2378, 3567, 4756, 7134

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14256 and 14268. The biggest common factor number is the GCF number.
So the greatest common factor 14256 and 14268 is 12.

Also check out the Least Common Multiple of 14256 and 14268