What is the Greatest Common Factor of 18704 and 18718?

Greatest common factor (GCF) of 18704 and 18718 is 14.

GCF(18704,18718) = 14

We will now calculate the prime factors of 18704 and 18718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18704 and 18718.

How to find the GCF of 18704 and 18718?

We will first find the prime factorization of 18704 and 18718. After we will calculate the factors of 18704 and 18718 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 18718

Prime factors of 18718 are 2, 7, 191. Prime factorization of 18718 in exponential form is:

18718 = 2¹ × 7² × 191¹

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 18718

List of positive integer factors of 18718 that divides 18704 without a remainder.

1, 2, 7, 14, 49, 98, 191, 382, 1337, 2674, 9359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18704 and 18718. The biggest common factor number is the GCF number.
So the greatest common factor 18704 and 18718 is 14.

Also check out the Least Common Multiple of 18704 and 18718