What is the Greatest Common Factor of 13344 and 13360?

Greatest common factor (GCF) of 13344 and 13360 is 16.

GCF(13344,13360) = 16

We will now calculate the prime factors of 13344 and 13360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13344 and 13360.

How to find the GCF of 13344 and 13360?

We will first find the prime factorization of 13344 and 13360. After we will calculate the factors of 13344 and 13360 and find the biggest common factor number .

Step-1: Prime Factorization of 13344

Prime factors of 13344 are 2, 3, 139. Prime factorization of 13344 in exponential form is:

13344 = 2⁵ × 3¹ × 139¹

Step-2: Prime Factorization of 13360

Prime factors of 13360 are 2, 5, 167. Prime factorization of 13360 in exponential form is:

13360 = 2⁴ × 5¹ × 167¹

Step-3: Factors of 13344

List of positive integer factors of 13344 that divides 13344 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 139, 278, 417, 556, 834, 1112, 1668, 2224, 3336, 4448, 6672

Step-4: Factors of 13360

List of positive integer factors of 13360 that divides 13344 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 167, 334, 668, 835, 1336, 1670, 2672, 3340, 6680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13344 and 13360. The biggest common factor number is the GCF number.
So the greatest common factor 13344 and 13360 is 16.

Also check out the Least Common Multiple of 13344 and 13360