What is the Greatest Common Factor of 13677 and 13687?

Greatest common factor (GCF) of 13677 and 13687 is 1.

GCF(13677,13687) = 1

We will now calculate the prime factors of 13677 and 13687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13677 and 13687.

How to find the GCF of 13677 and 13687?

We will first find the prime factorization of 13677 and 13687. After we will calculate the factors of 13677 and 13687 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 13687

Prime factors of 13687 are 13687. Prime factorization of 13687 in exponential form is:

13687 = 13687¹

Step-3: Factors of 13677

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

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

Step-4: Factors of 13687

List of positive integer factors of 13687 that divides 13677 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13677 and 13687. The biggest common factor number is the GCF number.
So the greatest common factor 13677 and 13687 is 1.

Also check out the Least Common Multiple of 13677 and 13687