What is the Greatest Common Factor of 9000 and 9012?

Greatest common factor (GCF) of 9000 and 9012 is 12.

GCF(9000,9012) = 12

We will now calculate the prime factors of 9000 and 9012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9000 and 9012.

How to find the GCF of 9000 and 9012?

We will first find the prime factorization of 9000 and 9012. After we will calculate the factors of 9000 and 9012 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 9012

Prime factors of 9012 are 2, 3, 751. Prime factorization of 9012 in exponential form is:

9012 = 2² × 3¹ × 751¹

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 9012

List of positive integer factors of 9012 that divides 9000 without a remainder.

1, 2, 3, 4, 6, 12, 751, 1502, 2253, 3004, 4506

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9000 and 9012. The biggest common factor number is the GCF number.
So the greatest common factor 9000 and 9012 is 12.

Also check out the Least Common Multiple of 9000 and 9012