What is the Greatest Common Factor of 13878 and 13886?

Greatest common factor (GCF) of 13878 and 13886 is 2.

GCF(13878,13886) = 2

We will now calculate the prime factors of 13878 and 13886, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13878 and 13886.

How to find the GCF of 13878 and 13886?

We will first find the prime factorization of 13878 and 13886. After we will calculate the factors of 13878 and 13886 and find the biggest common factor number .

Step-1: Prime Factorization of 13878

Prime factors of 13878 are 2, 3, 257. Prime factorization of 13878 in exponential form is:

13878 = 2¹ × 3³ × 257¹

Step-2: Prime Factorization of 13886

Prime factors of 13886 are 2, 53, 131. Prime factorization of 13886 in exponential form is:

13886 = 2¹ × 53¹ × 131¹

Step-3: Factors of 13878

List of positive integer factors of 13878 that divides 13878 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 257, 514, 771, 1542, 2313, 4626, 6939

Step-4: Factors of 13886

List of positive integer factors of 13886 that divides 13878 without a remainder.

1, 2, 53, 106, 131, 262, 6943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13878 and 13886. The biggest common factor number is the GCF number.
So the greatest common factor 13878 and 13886 is 2.

Also check out the Least Common Multiple of 13878 and 13886