What is the Greatest Common Factor of 13866 and 13875?

Greatest common factor (GCF) of 13866 and 13875 is 3.

GCF(13866,13875) = 3

We will now calculate the prime factors of 13866 and 13875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13866 and 13875.

How to find the GCF of 13866 and 13875?

We will first find the prime factorization of 13866 and 13875. After we will calculate the factors of 13866 and 13875 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 13875

Prime factors of 13875 are 3, 5, 37. Prime factorization of 13875 in exponential form is:

13875 = 3¹ × 5³ × 37¹

Step-3: Factors of 13866

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

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

Step-4: Factors of 13875

List of positive integer factors of 13875 that divides 13866 without a remainder.

1, 3, 5, 15, 25, 37, 75, 111, 125, 185, 375, 555, 925, 2775, 4625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13866 and 13875. The biggest common factor number is the GCF number.
So the greatest common factor 13866 and 13875 is 3.

Also check out the Least Common Multiple of 13866 and 13875