What is the Greatest Common Factor of 13841 and 13856?

Greatest common factor (GCF) of 13841 and 13856 is 1.

GCF(13841,13856) = 1

We will now calculate the prime factors of 13841 and 13856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13841 and 13856.

How to find the GCF of 13841 and 13856?

We will first find the prime factorization of 13841 and 13856. After we will calculate the factors of 13841 and 13856 and find the biggest common factor number .

Step-1: Prime Factorization of 13841

Prime factors of 13841 are 13841. Prime factorization of 13841 in exponential form is:

13841 = 13841¹

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 13841

List of positive integer factors of 13841 that divides 13841 without a remainder.

Step-4: Factors of 13856

List of positive integer factors of 13856 that divides 13841 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 13841 and 13856. The biggest common factor number is the GCF number.
So the greatest common factor 13841 and 13856 is 1.

Also check out the Least Common Multiple of 13841 and 13856