What is the Greatest Common Factor of 13787 and 13804?

Greatest common factor (GCF) of 13787 and 13804 is 17.

GCF(13787,13804) = 17

We will now calculate the prime factors of 13787 and 13804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13787 and 13804.

How to find the GCF of 13787 and 13804?

We will first find the prime factorization of 13787 and 13804. After we will calculate the factors of 13787 and 13804 and find the biggest common factor number .

Step-1: Prime Factorization of 13787

Prime factors of 13787 are 17, 811. Prime factorization of 13787 in exponential form is:

13787 = 17¹ × 811¹

Step-2: Prime Factorization of 13804

Prime factors of 13804 are 2, 7, 17, 29. Prime factorization of 13804 in exponential form is:

13804 = 2² × 7¹ × 17¹ × 29¹

Step-3: Factors of 13787

List of positive integer factors of 13787 that divides 13787 without a remainder.

1, 17, 811

Step-4: Factors of 13804

List of positive integer factors of 13804 that divides 13787 without a remainder.

1, 2, 4, 7, 14, 17, 28, 29, 34, 58, 68, 116, 119, 203, 238, 406, 476, 493, 812, 986, 1972, 3451, 6902

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13787 and 13804. The biggest common factor number is the GCF number.
So the greatest common factor 13787 and 13804 is 17.

Also check out the Least Common Multiple of 13787 and 13804