What is the Greatest Common Factor of 14256 and 14262?

Greatest common factor (GCF) of 14256 and 14262 is 6.

GCF(14256,14262) = 6

We will now calculate the prime factors of 14256 and 14262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14256 and 14262.

How to find the GCF of 14256 and 14262?

We will first find the prime factorization of 14256 and 14262. After we will calculate the factors of 14256 and 14262 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 14262

Prime factors of 14262 are 2, 3, 2377. Prime factorization of 14262 in exponential form is:

14262 = 2¹ × 3¹ × 2377¹

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 14262

List of positive integer factors of 14262 that divides 14256 without a remainder.

1, 2, 3, 6, 2377, 4754, 7131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14256 and 14262. The biggest common factor number is the GCF number.
So the greatest common factor 14256 and 14262 is 6.

Also check out the Least Common Multiple of 14256 and 14262