What is the Greatest Common Factor of 18027 and 18036?

Greatest common factor (GCF) of 18027 and 18036 is 9.

GCF(18027,18036) = 9

We will now calculate the prime factors of 18027 and 18036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18027 and 18036.

How to find the GCF of 18027 and 18036?

We will first find the prime factorization of 18027 and 18036. After we will calculate the factors of 18027 and 18036 and find the biggest common factor number .

Step-1: Prime Factorization of 18027

Prime factors of 18027 are 3, 2003. Prime factorization of 18027 in exponential form is:

18027 = 3² × 2003¹

Step-2: Prime Factorization of 18036

Prime factors of 18036 are 2, 3, 167. Prime factorization of 18036 in exponential form is:

18036 = 2² × 3³ × 167¹

Step-3: Factors of 18027

List of positive integer factors of 18027 that divides 18027 without a remainder.

1, 3, 9, 2003, 6009

Step-4: Factors of 18036

List of positive integer factors of 18036 that divides 18027 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 167, 334, 501, 668, 1002, 1503, 2004, 3006, 4509, 6012, 9018

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18027 and 18036. The biggest common factor number is the GCF number.
So the greatest common factor 18027 and 18036 is 9.

Also check out the Least Common Multiple of 18027 and 18036