What is the Greatest Common Factor of 13686 and 13694?

Greatest common factor (GCF) of 13686 and 13694 is 2.

GCF(13686,13694) = 2

We will now calculate the prime factors of 13686 and 13694, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13686 and 13694.

How to find the GCF of 13686 and 13694?

We will first find the prime factorization of 13686 and 13694. After we will calculate the factors of 13686 and 13694 and find the biggest common factor number .

Step-1: Prime Factorization of 13686

Prime factors of 13686 are 2, 3, 2281. Prime factorization of 13686 in exponential form is:

13686 = 2¹ × 3¹ × 2281¹

Step-2: Prime Factorization of 13694

Prime factors of 13694 are 2, 41, 167. Prime factorization of 13694 in exponential form is:

13694 = 2¹ × 41¹ × 167¹

Step-3: Factors of 13686

List of positive integer factors of 13686 that divides 13686 without a remainder.

1, 2, 3, 6, 2281, 4562, 6843

Step-4: Factors of 13694

List of positive integer factors of 13694 that divides 13686 without a remainder.

1, 2, 41, 82, 167, 334, 6847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13686 and 13694. The biggest common factor number is the GCF number.
So the greatest common factor 13686 and 13694 is 2.

Also check out the Least Common Multiple of 13686 and 13694