What is the Greatest Common Factor of 13605 and 13620?

Greatest common factor (GCF) of 13605 and 13620 is 15.

GCF(13605,13620) = 15

We will now calculate the prime factors of 13605 and 13620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13605 and 13620.

How to find the GCF of 13605 and 13620?

We will first find the prime factorization of 13605 and 13620. After we will calculate the factors of 13605 and 13620 and find the biggest common factor number .

Step-1: Prime Factorization of 13605

Prime factors of 13605 are 3, 5, 907. Prime factorization of 13605 in exponential form is:

13605 = 3¹ × 5¹ × 907¹

Step-2: Prime Factorization of 13620

Prime factors of 13620 are 2, 3, 5, 227. Prime factorization of 13620 in exponential form is:

13620 = 2² × 3¹ × 5¹ × 227¹

Step-3: Factors of 13605

List of positive integer factors of 13605 that divides 13605 without a remainder.

1, 3, 5, 15, 907, 2721, 4535

Step-4: Factors of 13620

List of positive integer factors of 13620 that divides 13605 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 227, 454, 681, 908, 1135, 1362, 2270, 2724, 3405, 4540, 6810

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13605 and 13620. The biggest common factor number is the GCF number.
So the greatest common factor 13605 and 13620 is 15.

Also check out the Least Common Multiple of 13605 and 13620