What is the Greatest Common Factor of 3009 and 3027?

Greatest common factor (GCF) of 3009 and 3027 is 3.

GCF(3009,3027) = 3

We will now calculate the prime factors of 3009 and 3027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3009 and 3027.

How to find the GCF of 3009 and 3027?

We will first find the prime factorization of 3009 and 3027. After we will calculate the factors of 3009 and 3027 and find the biggest common factor number .

Step-1: Prime Factorization of 3009

Prime factors of 3009 are 3, 17, 59. Prime factorization of 3009 in exponential form is:

3009 = 3¹ × 17¹ × 59¹

Step-2: Prime Factorization of 3027

Prime factors of 3027 are 3, 1009. Prime factorization of 3027 in exponential form is:

3027 = 3¹ × 1009¹

Step-3: Factors of 3009

List of positive integer factors of 3009 that divides 3009 without a remainder.

1, 3, 17, 51, 59, 177, 1003

Step-4: Factors of 3027

List of positive integer factors of 3027 that divides 3009 without a remainder.

1, 3, 1009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3009 and 3027. The biggest common factor number is the GCF number.
So the greatest common factor 3009 and 3027 is 3.

Also check out the Least Common Multiple of 3009 and 3027