What is the Greatest Common Factor of 13662 and 13666?

Greatest common factor (GCF) of 13662 and 13666 is 2.

GCF(13662,13666) = 2

We will now calculate the prime factors of 13662 and 13666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13662 and 13666.

How to find the GCF of 13662 and 13666?

We will first find the prime factorization of 13662 and 13666. After we will calculate the factors of 13662 and 13666 and find the biggest common factor number .

Step-1: Prime Factorization of 13662

Prime factors of 13662 are 2, 3, 11, 23. Prime factorization of 13662 in exponential form is:

13662 = 2¹ × 3³ × 11¹ × 23¹

Step-2: Prime Factorization of 13666

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

13666 = 2¹ × 6833¹

Step-3: Factors of 13662

List of positive integer factors of 13662 that divides 13662 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 23, 27, 33, 46, 54, 66, 69, 99, 138, 198, 207, 253, 297, 414, 506, 594, 621, 759, 1242, 1518, 2277, 4554, 6831

Step-4: Factors of 13666

List of positive integer factors of 13666 that divides 13662 without a remainder.

1, 2, 6833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13662 and 13666. The biggest common factor number is the GCF number.
So the greatest common factor 13662 and 13666 is 2.

Also check out the Least Common Multiple of 13662 and 13666