What is the Greatest Common Factor of 18369 and 18381?

Greatest common factor (GCF) of 18369 and 18381 is 3.

GCF(18369,18381) = 3

We will now calculate the prime factors of 18369 and 18381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18369 and 18381.

How to find the GCF of 18369 and 18381?

We will first find the prime factorization of 18369 and 18381. After we will calculate the factors of 18369 and 18381 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 18381

Prime factors of 18381 are 3, 11, 557. Prime factorization of 18381 in exponential form is:

18381 = 3¹ × 11¹ × 557¹

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 18381

List of positive integer factors of 18381 that divides 18369 without a remainder.

1, 3, 11, 33, 557, 1671, 6127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18369 and 18381. The biggest common factor number is the GCF number.
So the greatest common factor 18369 and 18381 is 3.

Also check out the Least Common Multiple of 18369 and 18381