What is the Greatest Common Factor of 13365 and 13381?

Greatest common factor (GCF) of 13365 and 13381 is 1.

GCF(13365,13381) = 1

We will now calculate the prime factors of 13365 and 13381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13365 and 13381.

How to find the GCF of 13365 and 13381?

We will first find the prime factorization of 13365 and 13381. After we will calculate the factors of 13365 and 13381 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 13381

Prime factors of 13381 are 13381. Prime factorization of 13381 in exponential form is:

13381 = 13381¹

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 13381

List of positive integer factors of 13381 that divides 13365 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13365 and 13381. The biggest common factor number is the GCF number.
So the greatest common factor 13365 and 13381 is 1.

Also check out the Least Common Multiple of 13365 and 13381