What is the Greatest Common Factor of 18369 and 18386?

Greatest common factor (GCF) of 18369 and 18386 is 1.

GCF(18369,18386) = 1

We will now calculate the prime factors of 18369 and 18386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18369 and 18386.

How to find the GCF of 18369 and 18386?

We will first find the prime factorization of 18369 and 18386. After we will calculate the factors of 18369 and 18386 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 18386

Prime factors of 18386 are 2, 29, 317. Prime factorization of 18386 in exponential form is:

18386 = 2¹ × 29¹ × 317¹

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 18386

List of positive integer factors of 18386 that divides 18369 without a remainder.

1, 2, 29, 58, 317, 634, 9193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18369 and 18386. The biggest common factor number is the GCF number.
So the greatest common factor 18369 and 18386 is 1.

Also check out the Least Common Multiple of 18369 and 18386