What is the Greatest Common Factor of 13365 and 13383?

Greatest common factor (GCF) of 13365 and 13383 is 9.

GCF(13365,13383) = 9

We will now calculate the prime factors of 13365 and 13383, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13365 and 13383.

How to find the GCF of 13365 and 13383?

We will first find the prime factorization of 13365 and 13383. After we will calculate the factors of 13365 and 13383 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 13383

Prime factors of 13383 are 3, 1487. Prime factorization of 13383 in exponential form is:

13383 = 3² × 1487¹

Step-3: Factors of 13365

List of positive integer factors of 13365 that divides 13365 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

Step-4: Factors of 13383

List of positive integer factors of 13383 that divides 13365 without a remainder.

1, 3, 9, 1487, 4461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13365 and 13383. The biggest common factor number is the GCF number.
So the greatest common factor 13365 and 13383 is 9.

Also check out the Least Common Multiple of 13365 and 13383