What is the Greatest Common Factor of 18093 and 18105?

Greatest common factor (GCF) of 18093 and 18105 is 3.

GCF(18093,18105) = 3

We will now calculate the prime factors of 18093 and 18105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18093 and 18105.

How to find the GCF of 18093 and 18105?

We will first find the prime factorization of 18093 and 18105. After we will calculate the factors of 18093 and 18105 and find the biggest common factor number .

Step-1: Prime Factorization of 18093

Prime factors of 18093 are 3, 37, 163. Prime factorization of 18093 in exponential form is:

18093 = 3¹ × 37¹ × 163¹

Step-2: Prime Factorization of 18105

Prime factors of 18105 are 3, 5, 17, 71. Prime factorization of 18105 in exponential form is:

18105 = 3¹ × 5¹ × 17¹ × 71¹

Step-3: Factors of 18093

List of positive integer factors of 18093 that divides 18093 without a remainder.

1, 3, 37, 111, 163, 489, 6031

Step-4: Factors of 18105

List of positive integer factors of 18105 that divides 18093 without a remainder.

1, 3, 5, 15, 17, 51, 71, 85, 213, 255, 355, 1065, 1207, 3621, 6035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18093 and 18105. The biggest common factor number is the GCF number.
So the greatest common factor 18093 and 18105 is 3.

Also check out the Least Common Multiple of 18093 and 18105