What is the Greatest Common Factor of 27009 and 27018?

Greatest common factor (GCF) of 27009 and 27018 is 9.

GCF(27009,27018) = 9

We will now calculate the prime factors of 27009 and 27018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27009 and 27018.

How to find the GCF of 27009 and 27018?

We will first find the prime factorization of 27009 and 27018. After we will calculate the factors of 27009 and 27018 and find the biggest common factor number .

Step-1: Prime Factorization of 27009

Prime factors of 27009 are 3, 3001. Prime factorization of 27009 in exponential form is:

27009 = 3² × 3001¹

Step-2: Prime Factorization of 27018

Prime factors of 27018 are 2, 3, 19, 79. Prime factorization of 27018 in exponential form is:

27018 = 2¹ × 3² × 19¹ × 79¹

Step-3: Factors of 27009

List of positive integer factors of 27009 that divides 27009 without a remainder.

1, 3, 9, 3001, 9003

Step-4: Factors of 27018

List of positive integer factors of 27018 that divides 27009 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 79, 114, 158, 171, 237, 342, 474, 711, 1422, 1501, 3002, 4503, 9006, 13509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27009 and 27018. The biggest common factor number is the GCF number.
So the greatest common factor 27009 and 27018 is 9.

Also check out the Least Common Multiple of 27009 and 27018