What is the Greatest Common Factor of 13857 and 13866?

Greatest common factor (GCF) of 13857 and 13866 is 3.

GCF(13857,13866) = 3

We will now calculate the prime factors of 13857 and 13866, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13857 and 13866.

How to find the GCF of 13857 and 13866?

We will first find the prime factorization of 13857 and 13866. After we will calculate the factors of 13857 and 13866 and find the biggest common factor number .

Step-1: Prime Factorization of 13857

Prime factors of 13857 are 3, 31, 149. Prime factorization of 13857 in exponential form is:

13857 = 3¹ × 31¹ × 149¹

Step-2: Prime Factorization of 13866

Prime factors of 13866 are 2, 3, 2311. Prime factorization of 13866 in exponential form is:

13866 = 2¹ × 3¹ × 2311¹

Step-3: Factors of 13857

List of positive integer factors of 13857 that divides 13857 without a remainder.

1, 3, 31, 93, 149, 447, 4619

Step-4: Factors of 13866

List of positive integer factors of 13866 that divides 13857 without a remainder.

1, 2, 3, 6, 2311, 4622, 6933

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13857 and 13866. The biggest common factor number is the GCF number.
So the greatest common factor 13857 and 13866 is 3.

Also check out the Least Common Multiple of 13857 and 13866