What is the Greatest Common Factor of 14440 and 14456?

Greatest common factor (GCF) of 14440 and 14456 is 8.

GCF(14440,14456) = 8

We will now calculate the prime factors of 14440 and 14456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14440 and 14456.

How to find the GCF of 14440 and 14456?

We will first find the prime factorization of 14440 and 14456. After we will calculate the factors of 14440 and 14456 and find the biggest common factor number .

Step-1: Prime Factorization of 14440

Prime factors of 14440 are 2, 5, 19. Prime factorization of 14440 in exponential form is:

14440 = 2³ × 5¹ × 19²

Step-2: Prime Factorization of 14456

Prime factors of 14456 are 2, 13, 139. Prime factorization of 14456 in exponential form is:

14456 = 2³ × 13¹ × 139¹

Step-3: Factors of 14440

List of positive integer factors of 14440 that divides 14440 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 361, 380, 722, 760, 1444, 1805, 2888, 3610, 7220

Step-4: Factors of 14456

List of positive integer factors of 14456 that divides 14440 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 139, 278, 556, 1112, 1807, 3614, 7228

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14440 and 14456. The biggest common factor number is the GCF number.
So the greatest common factor 14440 and 14456 is 8.

Also check out the Least Common Multiple of 14440 and 14456