What is the Greatest Common Factor of 13605 and 13615?

Greatest common factor (GCF) of 13605 and 13615 is 5.

GCF(13605,13615) = 5

We will now calculate the prime factors of 13605 and 13615, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13605 and 13615.

How to find the GCF of 13605 and 13615?

We will first find the prime factorization of 13605 and 13615. After we will calculate the factors of 13605 and 13615 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 13615

Prime factors of 13615 are 5, 7, 389. Prime factorization of 13615 in exponential form is:

13615 = 5¹ × 7¹ × 389¹

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 13615

List of positive integer factors of 13615 that divides 13605 without a remainder.

1, 5, 7, 35, 389, 1945, 2723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13605 and 13615. The biggest common factor number is the GCF number.
So the greatest common factor 13605 and 13615 is 5.

Also check out the Least Common Multiple of 13605 and 13615