What is the Greatest Common Factor of 13775 and 13794?

Greatest common factor (GCF) of 13775 and 13794 is 19.

GCF(13775,13794) = 19

We will now calculate the prime factors of 13775 and 13794, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13775 and 13794.

How to find the GCF of 13775 and 13794?

We will first find the prime factorization of 13775 and 13794. After we will calculate the factors of 13775 and 13794 and find the biggest common factor number .

Step-1: Prime Factorization of 13775

Prime factors of 13775 are 5, 19, 29. Prime factorization of 13775 in exponential form is:

13775 = 5² × 19¹ × 29¹

Step-2: 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-3: Factors of 13775

List of positive integer factors of 13775 that divides 13775 without a remainder.

1, 5, 19, 25, 29, 95, 145, 475, 551, 725, 2755

Step-4: Factors of 13794

List of positive integer factors of 13794 that divides 13775 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13775 and 13794. The biggest common factor number is the GCF number.
So the greatest common factor 13775 and 13794 is 19.

Also check out the Least Common Multiple of 13775 and 13794