What is the Greatest Common Factor of 9000 and 9009?

Greatest common factor (GCF) of 9000 and 9009 is 9.

GCF(9000,9009) = 9

We will now calculate the prime factors of 9000 and 9009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9000 and 9009.

How to find the GCF of 9000 and 9009?

We will first find the prime factorization of 9000 and 9009. After we will calculate the factors of 9000 and 9009 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 9009

Prime factors of 9009 are 3, 7, 11, 13. Prime factorization of 9009 in exponential form is:

9009 = 3² × 7¹ × 11¹ × 13¹

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 9009

List of positive integer factors of 9009 that divides 9000 without a remainder.

1, 3, 7, 9, 11, 13, 21, 33, 39, 63, 77, 91, 99, 117, 143, 231, 273, 429, 693, 819, 1001, 1287, 3003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9000 and 9009. The biggest common factor number is the GCF number.
So the greatest common factor 9000 and 9009 is 9.

Also check out the Least Common Multiple of 9000 and 9009