What is the Greatest Common Factor of 13824 and 13829?

Greatest common factor (GCF) of 13824 and 13829 is 1.

GCF(13824,13829) = 1

We will now calculate the prime factors of 13824 and 13829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13824 and 13829.

How to find the GCF of 13824 and 13829?

We will first find the prime factorization of 13824 and 13829. After we will calculate the factors of 13824 and 13829 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 13829

Prime factors of 13829 are 13829. Prime factorization of 13829 in exponential form is:

13829 = 13829¹

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 13829

List of positive integer factors of 13829 that divides 13824 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13824 and 13829. The biggest common factor number is the GCF number.
So the greatest common factor 13824 and 13829 is 1.

Also check out the Least Common Multiple of 13824 and 13829