What is the Greatest Common Factor of 18784 and 18804?

Greatest common factor (GCF) of 18784 and 18804 is 4.

GCF(18784,18804) = 4

We will now calculate the prime factors of 18784 and 18804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18784 and 18804.

How to find the GCF of 18784 and 18804?

We will first find the prime factorization of 18784 and 18804. After we will calculate the factors of 18784 and 18804 and find the biggest common factor number .

Step-1: Prime Factorization of 18784

Prime factors of 18784 are 2, 587. Prime factorization of 18784 in exponential form is:

18784 = 2⁵ × 587¹

Step-2: Prime Factorization of 18804

Prime factors of 18804 are 2, 3, 1567. Prime factorization of 18804 in exponential form is:

18804 = 2² × 3¹ × 1567¹

Step-3: Factors of 18784

List of positive integer factors of 18784 that divides 18784 without a remainder.

1, 2, 4, 8, 16, 32, 587, 1174, 2348, 4696, 9392

Step-4: Factors of 18804

List of positive integer factors of 18804 that divides 18784 without a remainder.

1, 2, 3, 4, 6, 12, 1567, 3134, 4701, 6268, 9402

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18784 and 18804. The biggest common factor number is the GCF number.
So the greatest common factor 18784 and 18804 is 4.

Also check out the Least Common Multiple of 18784 and 18804