What is the Greatest Common Factor of 13857 and 13863?

Greatest common factor (GCF) of 13857 and 13863 is 3.

GCF(13857,13863) = 3

We will now calculate the prime factors of 13857 and 13863, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13857 and 13863.

How to find the GCF of 13857 and 13863?

We will first find the prime factorization of 13857 and 13863. After we will calculate the factors of 13857 and 13863 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 13863

Prime factors of 13863 are 3, 4621. Prime factorization of 13863 in exponential form is:

13863 = 3¹ × 4621¹

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 13863

List of positive integer factors of 13863 that divides 13857 without a remainder.

1, 3, 4621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13857 and 13863. The biggest common factor number is the GCF number.
So the greatest common factor 13857 and 13863 is 3.

Also check out the Least Common Multiple of 13857 and 13863