What is the Greatest Common Factor of 18384 and 18404?

Greatest common factor (GCF) of 18384 and 18404 is 4.

GCF(18384,18404) = 4

We will now calculate the prime factors of 18384 and 18404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18384 and 18404.

How to find the GCF of 18384 and 18404?

We will first find the prime factorization of 18384 and 18404. After we will calculate the factors of 18384 and 18404 and find the biggest common factor number .

Step-1: Prime Factorization of 18384

Prime factors of 18384 are 2, 3, 383. Prime factorization of 18384 in exponential form is:

18384 = 2⁴ × 3¹ × 383¹

Step-2: Prime Factorization of 18404

Prime factors of 18404 are 2, 43, 107. Prime factorization of 18404 in exponential form is:

18404 = 2² × 43¹ × 107¹

Step-3: Factors of 18384

List of positive integer factors of 18384 that divides 18384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 383, 766, 1149, 1532, 2298, 3064, 4596, 6128, 9192

Step-4: Factors of 18404

List of positive integer factors of 18404 that divides 18384 without a remainder.

1, 2, 4, 43, 86, 107, 172, 214, 428, 4601, 9202

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18384 and 18404. The biggest common factor number is the GCF number.
So the greatest common factor 18384 and 18404 is 4.

Also check out the Least Common Multiple of 18384 and 18404