What is the Greatest Common Factor of 18704 and 18717?

Greatest common factor (GCF) of 18704 and 18717 is 1.

GCF(18704,18717) = 1

We will now calculate the prime factors of 18704 and 18717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18704 and 18717.

How to find the GCF of 18704 and 18717?

We will first find the prime factorization of 18704 and 18717. After we will calculate the factors of 18704 and 18717 and find the biggest common factor number .

Step-1: Prime Factorization of 18704

Prime factors of 18704 are 2, 7, 167. Prime factorization of 18704 in exponential form is:

18704 = 2⁴ × 7¹ × 167¹

Step-2: Prime Factorization of 18717

Prime factors of 18717 are 3, 17, 367. Prime factorization of 18717 in exponential form is:

18717 = 3¹ × 17¹ × 367¹

Step-3: Factors of 18704

List of positive integer factors of 18704 that divides 18704 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 167, 334, 668, 1169, 1336, 2338, 2672, 4676, 9352

Step-4: Factors of 18717

List of positive integer factors of 18717 that divides 18704 without a remainder.

1, 3, 17, 51, 367, 1101, 6239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18704 and 18717. The biggest common factor number is the GCF number.
So the greatest common factor 18704 and 18717 is 1.

Also check out the Least Common Multiple of 18704 and 18717