What is the Greatest Common Factor of 18090 and 18099?

Greatest common factor (GCF) of 18090 and 18099 is 9.

GCF(18090,18099) = 9

We will now calculate the prime factors of 18090 and 18099, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18090 and 18099.

How to find the GCF of 18090 and 18099?

We will first find the prime factorization of 18090 and 18099. After we will calculate the factors of 18090 and 18099 and find the biggest common factor number .

Step-1: Prime Factorization of 18090

Prime factors of 18090 are 2, 3, 5, 67. Prime factorization of 18090 in exponential form is:

18090 = 2¹ × 3³ × 5¹ × 67¹

Step-2: Prime Factorization of 18099

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

18099 = 3² × 2011¹

Step-3: Factors of 18090

List of positive integer factors of 18090 that divides 18090 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 67, 90, 134, 135, 201, 270, 335, 402, 603, 670, 1005, 1206, 1809, 2010, 3015, 3618, 6030, 9045

Step-4: Factors of 18099

List of positive integer factors of 18099 that divides 18090 without a remainder.

1, 3, 9, 2011, 6033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18090 and 18099. The biggest common factor number is the GCF number.
So the greatest common factor 18090 and 18099 is 9.

Also check out the Least Common Multiple of 18090 and 18099