What is the Greatest Common Factor of 13824 and 13841?

Greatest common factor (GCF) of 13824 and 13841 is 1.

GCF(13824,13841) = 1

We will now calculate the prime factors of 13824 and 13841, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13824 and 13841.

How to find the GCF of 13824 and 13841?

We will first find the prime factorization of 13824 and 13841. After we will calculate the factors of 13824 and 13841 and find the biggest common factor number .

Step-1: Prime Factorization of 13824

Prime factors of 13824 are 2, 3. Prime factorization of 13824 in exponential form is:

13824 = 2⁹ × 3³

Step-2: Prime Factorization of 13841

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

13841 = 13841¹

Step-3: Factors of 13824

List of positive integer factors of 13824 that divides 13824 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 128, 144, 192, 216, 256, 288, 384, 432, 512, 576, 768, 864, 1152, 1536, 1728, 2304, 3456, 4608, 6912

Step-4: Factors of 13841

List of positive integer factors of 13841 that divides 13824 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13824 and 13841. The biggest common factor number is the GCF number.
So the greatest common factor 13824 and 13841 is 1.

Also check out the Least Common Multiple of 13824 and 13841