What is the Greatest Common Factor of 13794 and 13805?

Greatest common factor (GCF) of 13794 and 13805 is 11.

GCF(13794,13805) = 11

We will now calculate the prime factors of 13794 and 13805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13794 and 13805.

How to find the GCF of 13794 and 13805?

We will first find the prime factorization of 13794 and 13805. After we will calculate the factors of 13794 and 13805 and find the biggest common factor number .

Step-1: Prime Factorization of 13794

Prime factors of 13794 are 2, 3, 11, 19. Prime factorization of 13794 in exponential form is:

13794 = 2¹ × 3¹ × 11² × 19¹

Step-2: Prime Factorization of 13805

Prime factors of 13805 are 5, 11, 251. Prime factorization of 13805 in exponential form is:

13805 = 5¹ × 11¹ × 251¹

Step-3: Factors of 13794

List of positive integer factors of 13794 that divides 13794 without a remainder.

1, 2, 3, 6, 11, 19, 22, 33, 38, 57, 66, 114, 121, 209, 242, 363, 418, 627, 726, 1254, 2299, 4598, 6897

Step-4: Factors of 13805

List of positive integer factors of 13805 that divides 13794 without a remainder.

1, 5, 11, 55, 251, 1255, 2761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13794 and 13805. The biggest common factor number is the GCF number.
So the greatest common factor 13794 and 13805 is 11.

Also check out the Least Common Multiple of 13794 and 13805