What is the Greatest Common Factor of 13614 and 13620?

Greatest common factor (GCF) of 13614 and 13620 is 6.

GCF(13614,13620) = 6

We will now calculate the prime factors of 13614 and 13620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13614 and 13620.

How to find the GCF of 13614 and 13620?

We will first find the prime factorization of 13614 and 13620. After we will calculate the factors of 13614 and 13620 and find the biggest common factor number .

Step-1: 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-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 13614

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

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

Step-4: Factors of 13620

List of positive integer factors of 13620 that divides 13614 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 13614 and 13620. The biggest common factor number is the GCF number.
So the greatest common factor 13614 and 13620 is 6.

Also check out the Least Common Multiple of 13614 and 13620