What is the Greatest Common Factor of 8991 and 9000?

Greatest common factor (GCF) of 8991 and 9000 is 9.

GCF(8991,9000) = 9

We will now calculate the prime factors of 8991 and 9000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8991 and 9000.

How to find the GCF of 8991 and 9000?

We will first find the prime factorization of 8991 and 9000. After we will calculate the factors of 8991 and 9000 and find the biggest common factor number .

Step-1: Prime Factorization of 8991

Prime factors of 8991 are 3, 37. Prime factorization of 8991 in exponential form is:

8991 = 3⁵ × 37¹

Step-2: 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-3: Factors of 8991

List of positive integer factors of 8991 that divides 8991 without a remainder.

1, 3, 9, 27, 37, 81, 111, 243, 333, 999, 2997

Step-4: Factors of 9000

List of positive integer factors of 9000 that divides 8991 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8991 and 9000. The biggest common factor number is the GCF number.
So the greatest common factor 8991 and 9000 is 9.

Also check out the Least Common Multiple of 8991 and 9000