What is the Greatest Common Factor of 13365 and 13380?

Greatest common factor (GCF) of 13365 and 13380 is 15.

GCF(13365,13380) = 15

We will now calculate the prime factors of 13365 and 13380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13365 and 13380.

How to find the GCF of 13365 and 13380?

We will first find the prime factorization of 13365 and 13380. After we will calculate the factors of 13365 and 13380 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 13380

Prime factors of 13380 are 2, 3, 5, 223. Prime factorization of 13380 in exponential form is:

13380 = 2² × 3¹ × 5¹ × 223¹

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 13380

List of positive integer factors of 13380 that divides 13365 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 223, 446, 669, 892, 1115, 1338, 2230, 2676, 3345, 4460, 6690

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13365 and 13380. The biggest common factor number is the GCF number.
So the greatest common factor 13365 and 13380 is 15.

Also check out the Least Common Multiple of 13365 and 13380