What is the Greatest Common Factor of 9000 and 9005?

Greatest common factor (GCF) of 9000 and 9005 is 5.

GCF(9000,9005) = 5

We will now calculate the prime factors of 9000 and 9005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9000 and 9005.

How to find the GCF of 9000 and 9005?

We will first find the prime factorization of 9000 and 9005. After we will calculate the factors of 9000 and 9005 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 9005

Prime factors of 9005 are 5, 1801. Prime factorization of 9005 in exponential form is:

9005 = 5¹ × 1801¹

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 9005

List of positive integer factors of 9005 that divides 9000 without a remainder.

1, 5, 1801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9000 and 9005. The biggest common factor number is the GCF number.
So the greatest common factor 9000 and 9005 is 5.

Also check out the Least Common Multiple of 9000 and 9005