What is the Greatest Common Factor of 18704 and 18724?

Greatest common factor (GCF) of 18704 and 18724 is 4.

GCF(18704,18724) = 4

We will now calculate the prime factors of 18704 and 18724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18704 and 18724.

How to find the GCF of 18704 and 18724?

We will first find the prime factorization of 18704 and 18724. After we will calculate the factors of 18704 and 18724 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 18724

Prime factors of 18724 are 2, 31, 151. Prime factorization of 18724 in exponential form is:

18724 = 2² × 31¹ × 151¹

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 18724

List of positive integer factors of 18724 that divides 18704 without a remainder.

1, 2, 4, 31, 62, 124, 151, 302, 604, 4681, 9362

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18704 and 18724. The biggest common factor number is the GCF number.
So the greatest common factor 18704 and 18724 is 4.

Also check out the Least Common Multiple of 18704 and 18724