What is the Greatest Common Factor of 15009 and 15018?

Greatest common factor (GCF) of 15009 and 15018 is 3.

GCF(15009,15018) = 3

We will now calculate the prime factors of 15009 and 15018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15009 and 15018.

How to find the GCF of 15009 and 15018?

We will first find the prime factorization of 15009 and 15018. After we will calculate the factors of 15009 and 15018 and find the biggest common factor number .

Step-1: Prime Factorization of 15009

Prime factors of 15009 are 3, 5003. Prime factorization of 15009 in exponential form is:

15009 = 3¹ × 5003¹

Step-2: Prime Factorization of 15018

Prime factors of 15018 are 2, 3, 2503. Prime factorization of 15018 in exponential form is:

15018 = 2¹ × 3¹ × 2503¹

Step-3: Factors of 15009

List of positive integer factors of 15009 that divides 15009 without a remainder.

1, 3, 5003

Step-4: Factors of 15018

List of positive integer factors of 15018 that divides 15009 without a remainder.

1, 2, 3, 6, 2503, 5006, 7509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15009 and 15018. The biggest common factor number is the GCF number.
So the greatest common factor 15009 and 15018 is 3.

Also check out the Least Common Multiple of 15009 and 15018