What is the Greatest Common Factor of 13360 and 13364?

Greatest common factor (GCF) of 13360 and 13364 is 4.

GCF(13360,13364) = 4

We will now calculate the prime factors of 13360 and 13364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13360 and 13364.

How to find the GCF of 13360 and 13364?

We will first find the prime factorization of 13360 and 13364. After we will calculate the factors of 13360 and 13364 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 13364

Prime factors of 13364 are 2, 13, 257. Prime factorization of 13364 in exponential form is:

13364 = 2² × 13¹ × 257¹

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 13364

List of positive integer factors of 13364 that divides 13360 without a remainder.

1, 2, 4, 13, 26, 52, 257, 514, 1028, 3341, 6682

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13360 and 13364. The biggest common factor number is the GCF number.
So the greatest common factor 13360 and 13364 is 4.

Also check out the Least Common Multiple of 13360 and 13364