What is the Greatest Common Factor of 9000 and 9006?

Greatest common factor (GCF) of 9000 and 9006 is 6.

GCF(9000,9006) = 6

We will now calculate the prime factors of 9000 and 9006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9000 and 9006.

How to find the GCF of 9000 and 9006?

We will first find the prime factorization of 9000 and 9006. After we will calculate the factors of 9000 and 9006 and find the biggest common factor number .

Step-1: Prime Factorization of 9000

Prime factors of 9000 are 2, 3, 5. Prime factorization of 9000 in exponential form is:

9000 = 2³ × 3² × 5³

Step-2: Prime Factorization of 9006

Prime factors of 9006 are 2, 3, 19, 79. Prime factorization of 9006 in exponential form is:

9006 = 2¹ × 3¹ × 19¹ × 79¹

Step-3: Factors of 9000

List of positive integer factors of 9000 that divides 9000 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 125, 150, 180, 200, 225, 250, 300, 360, 375, 450, 500, 600, 750, 900, 1000, 1125, 1500, 1800, 2250, 3000, 4500

Step-4: Factors of 9006

List of positive integer factors of 9006 that divides 9000 without a remainder.

1, 2, 3, 6, 19, 38, 57, 79, 114, 158, 237, 474, 1501, 3002, 4503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9000 and 9006. The biggest common factor number is the GCF number.
So the greatest common factor 9000 and 9006 is 6.

Also check out the Least Common Multiple of 9000 and 9006