What is the Greatest Common Factor of 13854 and 13868?

Greatest common factor (GCF) of 13854 and 13868 is 2.

GCF(13854,13868) = 2

We will now calculate the prime factors of 13854 and 13868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13854 and 13868.

How to find the GCF of 13854 and 13868?

We will first find the prime factorization of 13854 and 13868. After we will calculate the factors of 13854 and 13868 and find the biggest common factor number .

Step-1: Prime Factorization of 13854

Prime factors of 13854 are 2, 3, 2309. Prime factorization of 13854 in exponential form is:

13854 = 2¹ × 3¹ × 2309¹

Step-2: Prime Factorization of 13868

Prime factors of 13868 are 2, 3467. Prime factorization of 13868 in exponential form is:

13868 = 2² × 3467¹

Step-3: Factors of 13854

List of positive integer factors of 13854 that divides 13854 without a remainder.

1, 2, 3, 6, 2309, 4618, 6927

Step-4: Factors of 13868

List of positive integer factors of 13868 that divides 13854 without a remainder.

1, 2, 4, 3467, 6934

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13854 and 13868. The biggest common factor number is the GCF number.
So the greatest common factor 13854 and 13868 is 2.

Also check out the Least Common Multiple of 13854 and 13868