What is the Greatest Common Factor of 13839 and 13856?

Greatest common factor (GCF) of 13839 and 13856 is 1.

GCF(13839,13856) = 1

We will now calculate the prime factors of 13839 and 13856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13839 and 13856.

How to find the GCF of 13839 and 13856?

We will first find the prime factorization of 13839 and 13856. After we will calculate the factors of 13839 and 13856 and find the biggest common factor number .

Step-1: Prime Factorization of 13839

Prime factors of 13839 are 3, 7, 659. Prime factorization of 13839 in exponential form is:

13839 = 3¹ × 7¹ × 659¹

Step-2: Prime Factorization of 13856

Prime factors of 13856 are 2, 433. Prime factorization of 13856 in exponential form is:

13856 = 2⁵ × 433¹

Step-3: Factors of 13839

List of positive integer factors of 13839 that divides 13839 without a remainder.

1, 3, 7, 21, 659, 1977, 4613

Step-4: Factors of 13856

List of positive integer factors of 13856 that divides 13839 without a remainder.

1, 2, 4, 8, 16, 32, 433, 866, 1732, 3464, 6928

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13839 and 13856. The biggest common factor number is the GCF number.
So the greatest common factor 13839 and 13856 is 1.

Also check out the Least Common Multiple of 13839 and 13856