What is the Greatest Common Factor of 13783 and 13794?

Greatest common factor (GCF) of 13783 and 13794 is 11.

GCF(13783,13794) = 11

We will now calculate the prime factors of 13783 and 13794, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13783 and 13794.

How to find the GCF of 13783 and 13794?

We will first find the prime factorization of 13783 and 13794. After we will calculate the factors of 13783 and 13794 and find the biggest common factor number .

Step-1: Prime Factorization of 13783

Prime factors of 13783 are 7, 11, 179. Prime factorization of 13783 in exponential form is:

13783 = 7¹ × 11¹ × 179¹

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 13783

List of positive integer factors of 13783 that divides 13783 without a remainder.

1, 7, 11, 77, 179, 1253, 1969

Step-4: Factors of 13794

List of positive integer factors of 13794 that divides 13783 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 13783 and 13794. The biggest common factor number is the GCF number.
So the greatest common factor 13783 and 13794 is 11.

Also check out the Least Common Multiple of 13783 and 13794