What is the Greatest Common Factor of 8980 and 9000?

Greatest common factor (GCF) of 8980 and 9000 is 20.

GCF(8980,9000) = 20

We will now calculate the prime factors of 8980 and 9000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8980 and 9000.

How to find the GCF of 8980 and 9000?

We will first find the prime factorization of 8980 and 9000. After we will calculate the factors of 8980 and 9000 and find the biggest common factor number .

Step-1: Prime Factorization of 8980

Prime factors of 8980 are 2, 5, 449. Prime factorization of 8980 in exponential form is:

8980 = 2² × 5¹ × 449¹

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 8980

List of positive integer factors of 8980 that divides 8980 without a remainder.

1, 2, 4, 5, 10, 20, 449, 898, 1796, 2245, 4490

Step-4: Factors of 9000

List of positive integer factors of 9000 that divides 8980 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 8980 and 9000. The biggest common factor number is the GCF number.
So the greatest common factor 8980 and 9000 is 20.

Also check out the Least Common Multiple of 8980 and 9000