What is the Greatest Common Factor of 13350 and 13359?

Greatest common factor (GCF) of 13350 and 13359 is 3.

GCF(13350,13359) = 3

We will now calculate the prime factors of 13350 and 13359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13350 and 13359.

How to find the GCF of 13350 and 13359?

We will first find the prime factorization of 13350 and 13359. After we will calculate the factors of 13350 and 13359 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 13359

Prime factors of 13359 are 3, 61, 73. Prime factorization of 13359 in exponential form is:

13359 = 3¹ × 61¹ × 73¹

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 13359

List of positive integer factors of 13359 that divides 13350 without a remainder.

1, 3, 61, 73, 183, 219, 4453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13350 and 13359. The biggest common factor number is the GCF number.
So the greatest common factor 13350 and 13359 is 3.

Also check out the Least Common Multiple of 13350 and 13359