What is the Greatest Common Factor of 12009 and 12015?

Greatest common factor (GCF) of 12009 and 12015 is 3.

GCF(12009,12015) = 3

We will now calculate the prime factors of 12009 and 12015, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12009 and 12015.

How to find the GCF of 12009 and 12015?

We will first find the prime factorization of 12009 and 12015. After we will calculate the factors of 12009 and 12015 and find the biggest common factor number .

Step-1: Prime Factorization of 12009

Prime factors of 12009 are 3, 4003. Prime factorization of 12009 in exponential form is:

12009 = 3¹ × 4003¹

Step-2: Prime Factorization of 12015

Prime factors of 12015 are 3, 5, 89. Prime factorization of 12015 in exponential form is:

12015 = 3³ × 5¹ × 89¹

Step-3: Factors of 12009

List of positive integer factors of 12009 that divides 12009 without a remainder.

1, 3, 4003

Step-4: Factors of 12015

List of positive integer factors of 12015 that divides 12009 without a remainder.

1, 3, 5, 9, 15, 27, 45, 89, 135, 267, 445, 801, 1335, 2403, 4005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12009 and 12015. The biggest common factor number is the GCF number.
So the greatest common factor 12009 and 12015 is 3.

Also check out the Least Common Multiple of 12009 and 12015