What is the Greatest Common Factor of 13614 and 13626?

Greatest common factor (GCF) of 13614 and 13626 is 6.

GCF(13614,13626) = 6

We will now calculate the prime factors of 13614 and 13626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13614 and 13626.

How to find the GCF of 13614 and 13626?

We will first find the prime factorization of 13614 and 13626. After we will calculate the factors of 13614 and 13626 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 13626

Prime factors of 13626 are 2, 3, 757. Prime factorization of 13626 in exponential form is:

13626 = 2¹ × 3² × 757¹

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 13626

List of positive integer factors of 13626 that divides 13614 without a remainder.

1, 2, 3, 6, 9, 18, 757, 1514, 2271, 4542, 6813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13614 and 13626. The biggest common factor number is the GCF number.
So the greatest common factor 13614 and 13626 is 6.

Also check out the Least Common Multiple of 13614 and 13626