What is the Greatest Common Factor of 13672 and 13686?

Greatest common factor (GCF) of 13672 and 13686 is 2.

GCF(13672,13686) = 2

We will now calculate the prime factors of 13672 and 13686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13672 and 13686.

How to find the GCF of 13672 and 13686?

We will first find the prime factorization of 13672 and 13686. After we will calculate the factors of 13672 and 13686 and find the biggest common factor number .

Step-1: Prime Factorization of 13672

Prime factors of 13672 are 2, 1709. Prime factorization of 13672 in exponential form is:

13672 = 2³ × 1709¹

Step-2: 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-3: Factors of 13672

List of positive integer factors of 13672 that divides 13672 without a remainder.

1, 2, 4, 8, 1709, 3418, 6836

Step-4: Factors of 13686

List of positive integer factors of 13686 that divides 13672 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13672 and 13686. The biggest common factor number is the GCF number.
So the greatest common factor 13672 and 13686 is 2.

Also check out the Least Common Multiple of 13672 and 13686