What is the Greatest Common Factor of 13666 and 13672?

Greatest common factor (GCF) of 13666 and 13672 is 2.

GCF(13666,13672) = 2

We will now calculate the prime factors of 13666 and 13672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13666 and 13672.

How to find the GCF of 13666 and 13672?

We will first find the prime factorization of 13666 and 13672. After we will calculate the factors of 13666 and 13672 and find the biggest common factor number .

Step-1: Prime Factorization of 13666

Prime factors of 13666 are 2, 6833. Prime factorization of 13666 in exponential form is:

13666 = 2¹ × 6833¹

Step-2: Prime Factorization of 13672

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

13672 = 2³ × 1709¹

Step-3: Factors of 13666

List of positive integer factors of 13666 that divides 13666 without a remainder.

1, 2, 6833

Step-4: Factors of 13672

List of positive integer factors of 13672 that divides 13666 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13666 and 13672. The biggest common factor number is the GCF number.
So the greatest common factor 13666 and 13672 is 2.

Also check out the Least Common Multiple of 13666 and 13672