What is the Greatest Common Factor of 13360 and 13372?

Greatest common factor (GCF) of 13360 and 13372 is 4.

GCF(13360,13372) = 4

We will now calculate the prime factors of 13360 and 13372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13360 and 13372.

How to find the GCF of 13360 and 13372?

We will first find the prime factorization of 13360 and 13372. After we will calculate the factors of 13360 and 13372 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 13372

Prime factors of 13372 are 2, 3343. Prime factorization of 13372 in exponential form is:

13372 = 2² × 3343¹

Step-3: Factors of 13360

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

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

Step-4: Factors of 13372

List of positive integer factors of 13372 that divides 13360 without a remainder.

1, 2, 4, 3343, 6686

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13360 and 13372. The biggest common factor number is the GCF number.
So the greatest common factor 13360 and 13372 is 4.

Also check out the Least Common Multiple of 13360 and 13372