What is the Greatest Common Factor of 13350 and 13365?

Greatest common factor (GCF) of 13350 and 13365 is 15.

GCF(13350,13365) = 15

We will now calculate the prime factors of 13350 and 13365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13350 and 13365.

How to find the GCF of 13350 and 13365?

We will first find the prime factorization of 13350 and 13365. After we will calculate the factors of 13350 and 13365 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 13365

Prime factors of 13365 are 3, 5, 11. Prime factorization of 13365 in exponential form is:

13365 = 3⁵ × 5¹ × 11¹

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 13365

List of positive integer factors of 13365 that divides 13350 without a remainder.

1, 3, 5, 9, 11, 15, 27, 33, 45, 55, 81, 99, 135, 165, 243, 297, 405, 495, 891, 1215, 1485, 2673, 4455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13350 and 13365. The biggest common factor number is the GCF number.
So the greatest common factor 13350 and 13365 is 15.

Also check out the Least Common Multiple of 13350 and 13365