What is the Greatest Common Factor of 8982 and 9000?

Greatest common factor (GCF) of 8982 and 9000 is 18.

GCF(8982,9000) = 18

We will now calculate the prime factors of 8982 and 9000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8982 and 9000.

How to find the GCF of 8982 and 9000?

We will first find the prime factorization of 8982 and 9000. After we will calculate the factors of 8982 and 9000 and find the biggest common factor number .

Step-1: Prime Factorization of 8982

Prime factors of 8982 are 2, 3, 499. Prime factorization of 8982 in exponential form is:

8982 = 2¹ × 3² × 499¹

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 8982

List of positive integer factors of 8982 that divides 8982 without a remainder.

1, 2, 3, 6, 9, 18, 499, 998, 1497, 2994, 4491

Step-4: Factors of 9000

List of positive integer factors of 9000 that divides 8982 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 8982 and 9000. The biggest common factor number is the GCF number.
So the greatest common factor 8982 and 9000 is 18.

Also check out the Least Common Multiple of 8982 and 9000