What is the Greatest Common Factor of 13605 and 13614?

Greatest common factor (GCF) of 13605 and 13614 is 3.

GCF(13605,13614) = 3

We will now calculate the prime factors of 13605 and 13614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13605 and 13614.

How to find the GCF of 13605 and 13614?

We will first find the prime factorization of 13605 and 13614. After we will calculate the factors of 13605 and 13614 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 13614

Prime factors of 13614 are 2, 3, 2269. Prime factorization of 13614 in exponential form is:

13614 = 2¹ × 3¹ × 2269¹

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 13614

List of positive integer factors of 13614 that divides 13605 without a remainder.

1, 2, 3, 6, 2269, 4538, 6807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13605 and 13614. The biggest common factor number is the GCF number.
So the greatest common factor 13605 and 13614 is 3.

Also check out the Least Common Multiple of 13605 and 13614