What is the Greatest Common Factor of 18099 and 18105?

Greatest common factor (GCF) of 18099 and 18105 is 3.

GCF(18099,18105) = 3

We will now calculate the prime factors of 18099 and 18105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18099 and 18105.

How to find the GCF of 18099 and 18105?

We will first find the prime factorization of 18099 and 18105. After we will calculate the factors of 18099 and 18105 and find the biggest common factor number .

Step-1: Prime Factorization of 18099

Prime factors of 18099 are 3, 2011. Prime factorization of 18099 in exponential form is:

18099 = 3² × 2011¹

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 18099

List of positive integer factors of 18099 that divides 18099 without a remainder.

1, 3, 9, 2011, 6033

Step-4: Factors of 18105

List of positive integer factors of 18105 that divides 18099 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 18099 and 18105. The biggest common factor number is the GCF number.
So the greatest common factor 18099 and 18105 is 3.

Also check out the Least Common Multiple of 18099 and 18105