What is the Greatest Common Factor of 6009 and 6027?

Greatest common factor (GCF) of 6009 and 6027 is 3.

GCF(6009,6027) = 3

We will now calculate the prime factors of 6009 and 6027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6009 and 6027.

How to find the GCF of 6009 and 6027?

We will first find the prime factorization of 6009 and 6027. After we will calculate the factors of 6009 and 6027 and find the biggest common factor number .

Step-1: Prime Factorization of 6009

Prime factors of 6009 are 3, 2003. Prime factorization of 6009 in exponential form is:

6009 = 3¹ × 2003¹

Step-2: Prime Factorization of 6027

Prime factors of 6027 are 3, 7, 41. Prime factorization of 6027 in exponential form is:

6027 = 3¹ × 7² × 41¹

Step-3: Factors of 6009

List of positive integer factors of 6009 that divides 6009 without a remainder.

1, 3, 2003

Step-4: Factors of 6027

List of positive integer factors of 6027 that divides 6009 without a remainder.

1, 3, 7, 21, 41, 49, 123, 147, 287, 861, 2009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6009 and 6027. The biggest common factor number is the GCF number.
So the greatest common factor 6009 and 6027 is 3.

Also check out the Least Common Multiple of 6009 and 6027