What is the Greatest Common Factor of 18384 and 18400?

Greatest common factor (GCF) of 18384 and 18400 is 16.

GCF(18384,18400) = 16

We will now calculate the prime factors of 18384 and 18400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18384 and 18400.

How to find the GCF of 18384 and 18400?

We will first find the prime factorization of 18384 and 18400. After we will calculate the factors of 18384 and 18400 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 18400

Prime factors of 18400 are 2, 5, 23. Prime factorization of 18400 in exponential form is:

18400 = 2⁵ × 5² × 23¹

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 18400

List of positive integer factors of 18400 that divides 18384 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 23, 25, 32, 40, 46, 50, 80, 92, 100, 115, 160, 184, 200, 230, 368, 400, 460, 575, 736, 800, 920, 1150, 1840, 2300, 3680, 4600, 9200

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18384 and 18400. The biggest common factor number is the GCF number.
So the greatest common factor 18384 and 18400 is 16.

Also check out the Least Common Multiple of 18384 and 18400