What is the Greatest Common Factor of 13350 and 13360?

Greatest common factor (GCF) of 13350 and 13360 is 10.

GCF(13350,13360) = 10

We will now calculate the prime factors of 13350 and 13360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13350 and 13360.

How to find the GCF of 13350 and 13360?

We will first find the prime factorization of 13350 and 13360. After we will calculate the factors of 13350 and 13360 and find the biggest common factor number .

Step-1: Prime Factorization of 13350

Prime factors of 13350 are 2, 3, 5, 89. Prime factorization of 13350 in exponential form is:

13350 = 2¹ × 3¹ × 5² × 89¹

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 13350

List of positive integer factors of 13350 that divides 13350 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 89, 150, 178, 267, 445, 534, 890, 1335, 2225, 2670, 4450, 6675

Step-4: Factors of 13360

List of positive integer factors of 13360 that divides 13350 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 13350 and 13360. The biggest common factor number is the GCF number.
So the greatest common factor 13350 and 13360 is 10.

Also check out the Least Common Multiple of 13350 and 13360