What is the Greatest Common Factor of 9000 and 9015?

Greatest common factor (GCF) of 9000 and 9015 is 15.

GCF(9000,9015) = 15

We will now calculate the prime factors of 9000 and 9015, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9000 and 9015.

How to find the GCF of 9000 and 9015?

We will first find the prime factorization of 9000 and 9015. After we will calculate the factors of 9000 and 9015 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 9015

Prime factors of 9015 are 3, 5, 601. Prime factorization of 9015 in exponential form is:

9015 = 3¹ × 5¹ × 601¹

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 9015

List of positive integer factors of 9015 that divides 9000 without a remainder.

1, 3, 5, 15, 601, 1803, 3005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9000 and 9015. The biggest common factor number is the GCF number.
So the greatest common factor 9000 and 9015 is 15.

Also check out the Least Common Multiple of 9000 and 9015