Greatest Common Factor of 9000 and 9008

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 9000, 9008 i.e. 8 largest integer by which both the numbers can be divided.

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

GCF(9000,9008) = 8

GCF of 9000 and 9008

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 9000 and 9008

GCF of 9000 and 9008 is 8

Prime Factorization of 9000


2 9000
2 4500
2 2250
3 1125
3 375
5 125
5 25
5 5
1

Prime factors of 9000 are 2,3,5. Prime factorization of 9000 in exponential form is:

9000 = 23×32×53

Prime Factorization of 9008


2 9008
2 4504
2 2252
2 1126
563 563
1

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

9008 = 24×5631

∴ So by taking common prime factors GCF of 9000 and 9008 is 8

Greatest Common Factor of 9000 and 9008 by matching factors method

Factors of 9000

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

1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,30,36,40,45,50,60,72,75,90,100,120,125,150,180,200,225,250,300,360,375,450,500,600,750,900,1000,1125,1500,1800,2250,3000,4500,9000

Factors of 9008

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

1,2,4,8,16,563,1126,2252,4504,9008

Greatest Common Factor

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

Properties of GCF 9000 and 9008

(i) The GCF of 9000 and 9008 is associative

GCF of 9000 and 9008 = GCF of 9008 and 9000

Related Greatest Common Factor of 9000

Related Greatest Common Factor of 9008

Frequently Asked Questions on GCF of 9000 and 9008

1. What is the GCF of 9000 and 9008?

Answer: GCF of 9000 and 9008 is 8.

2. What are the Factors of 9000?

Answer: Factors of 9000 are 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, 9000. There are 48 integers that are factors of 9000. The greatest factor of 9000 is 9000.

3. What are the Factors of 9008?

Answer: Factors of 9008 are 1, 2, 4, 8, 16, 563, 1126, 2252, 4504, 9008. There are 10 integers that are factors of 9008. The greatest factor of 9008 is 9008.

4. How to Find the GCF of 9000 and 9008?

Answer:

Greatest Common Factor of 9000 and 9008 = 8

Step 1: Find the prime factorization of 9000

9000 = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5

Step 2: Find the prime factorization of 9008

9008 = 2 x 2 x 2 x 2 x 563

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 9000 and 9008 is 8