What is the Greatest Common Factor of 13365 and 13379?

Greatest common factor (GCF) of 13365 and 13379 is 1.

GCF(13365,13379) = 1

We will now calculate the prime factors of 13365 and 13379, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13365 and 13379.

How to find the GCF of 13365 and 13379?

We will first find the prime factorization of 13365 and 13379. After we will calculate the factors of 13365 and 13379 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 13379

Prime factors of 13379 are 17, 787. Prime factorization of 13379 in exponential form is:

13379 = 17¹ × 787¹

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 13379

List of positive integer factors of 13379 that divides 13365 without a remainder.

1, 17, 787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13365 and 13379. The biggest common factor number is the GCF number.
So the greatest common factor 13365 and 13379 is 1.

Also check out the Least Common Multiple of 13365 and 13379