What is the Greatest Common Factor of 9003 and 9018?

Greatest common factor (GCF) of 9003 and 9018 is 3.

GCF(9003,9018) = 3

We will now calculate the prime factors of 9003 and 9018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9003 and 9018.

How to find the GCF of 9003 and 9018?

We will first find the prime factorization of 9003 and 9018. After we will calculate the factors of 9003 and 9018 and find the biggest common factor number .

Step-1: Prime Factorization of 9003

Prime factors of 9003 are 3, 3001. Prime factorization of 9003 in exponential form is:

9003 = 3¹ × 3001¹

Step-2: Prime Factorization of 9018

Prime factors of 9018 are 2, 3, 167. Prime factorization of 9018 in exponential form is:

9018 = 2¹ × 3³ × 167¹

Step-3: Factors of 9003

List of positive integer factors of 9003 that divides 9003 without a remainder.

1, 3, 3001

Step-4: Factors of 9018

List of positive integer factors of 9018 that divides 9003 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 167, 334, 501, 1002, 1503, 3006, 4509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9003 and 9018. The biggest common factor number is the GCF number.
So the greatest common factor 9003 and 9018 is 3.

Also check out the Least Common Multiple of 9003 and 9018