What is the Greatest Common Factor of 13662 and 13677?

Greatest common factor (GCF) of 13662 and 13677 is 3.

GCF(13662,13677) = 3

We will now calculate the prime factors of 13662 and 13677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13662 and 13677.

How to find the GCF of 13662 and 13677?

We will first find the prime factorization of 13662 and 13677. After we will calculate the factors of 13662 and 13677 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 13677

Prime factors of 13677 are 3, 47, 97. Prime factorization of 13677 in exponential form is:

13677 = 3¹ × 47¹ × 97¹

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 13677

List of positive integer factors of 13677 that divides 13662 without a remainder.

1, 3, 47, 97, 141, 291, 4559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13662 and 13677. The biggest common factor number is the GCF number.
So the greatest common factor 13662 and 13677 is 3.

Also check out the Least Common Multiple of 13662 and 13677