What is the Greatest Common Factor of 9000 and 9008?

Greatest common factor (GCF) of 9000 and 9008 is 8.

GCF(9000,9008) = 8

We will now calculate the prime factors of 9000 and 9008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9000 and 9008.

How to find the GCF of 9000 and 9008?

We will first find the prime factorization of 9000 and 9008. After we will calculate the factors of 9000 and 9008 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 9008

Prime factors of 9008 are 2, 563. Prime factorization of 9008 in exponential form is:

9008 = 2⁴ × 563¹

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 9008

List of positive integer factors of 9008 that divides 9000 without a remainder.

1, 2, 4, 8, 16, 563, 1126, 2252, 4504

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9000 and 9008. The biggest common factor number is the GCF number.
So the greatest common factor 9000 and 9008 is 8.

Also check out the Least Common Multiple of 9000 and 9008