What is the Greatest Common Factor of 18369 and 18384?

Greatest common factor (GCF) of 18369 and 18384 is 3.

GCF(18369,18384) = 3

We will now calculate the prime factors of 18369 and 18384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18369 and 18384.

How to find the GCF of 18369 and 18384?

We will first find the prime factorization of 18369 and 18384. After we will calculate the factors of 18369 and 18384 and find the biggest common factor number .

Step-1: Prime Factorization of 18369

Prime factors of 18369 are 3, 13, 157. Prime factorization of 18369 in exponential form is:

18369 = 3² × 13¹ × 157¹

Step-2: 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-3: Factors of 18369

List of positive integer factors of 18369 that divides 18369 without a remainder.

1, 3, 9, 13, 39, 117, 157, 471, 1413, 2041, 6123

Step-4: Factors of 18384

List of positive integer factors of 18384 that divides 18369 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18369 and 18384. The biggest common factor number is the GCF number.
So the greatest common factor 18369 and 18384 is 3.

Also check out the Least Common Multiple of 18369 and 18384