What is the Greatest Common Factor of 18384 and 18390?

Greatest common factor (GCF) of 18384 and 18390 is 6.

GCF(18384,18390) = 6

We will now calculate the prime factors of 18384 and 18390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18384 and 18390.

How to find the GCF of 18384 and 18390?

We will first find the prime factorization of 18384 and 18390. After we will calculate the factors of 18384 and 18390 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 18390

Prime factors of 18390 are 2, 3, 5, 613. Prime factorization of 18390 in exponential form is:

18390 = 2¹ × 3¹ × 5¹ × 613¹

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 18390

List of positive integer factors of 18390 that divides 18384 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 613, 1226, 1839, 3065, 3678, 6130, 9195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18384 and 18390. The biggest common factor number is the GCF number.
So the greatest common factor 18384 and 18390 is 6.

Also check out the Least Common Multiple of 18384 and 18390