Greatest Common Factor of 9000 and 9004

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, 9004 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9000 and 9004 is 4.

GCF(9000,9004) = 4

GCF of 9000 and 9004

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

GCF of:
and

Greatest Common Factor of 9000 and 9004

GCF of 9000 and 9004 is 4

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 9004


2 9004
2 4502
2251 2251
1

Prime factors of 9004 are 2,2251. Prime factorization of 9004 in exponential form is:

9004 = 22×22511

∴ So by taking common prime factors GCF of 9000 and 9004 is 4

Greatest Common Factor of 9000 and 9004 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 9004

List of positive integer factors of 9004 that divides 9004 without a remainder.

1,2,4,2251,4502,9004

Greatest Common Factor

We found the factors and prime factorization of 9000 and 9004. The biggest common factor number is the GCF number.
So the greatest common factor 9000 and 9004 is 4.

Also check out the Least Common Multiple of 9000 and 9004

Properties of GCF 9000 and 9004

(i) The GCF of 9000 and 9004 is associative

GCF of 9000 and 9004 = GCF of 9004 and 9000

Related Greatest Common Factor of 9000

Related Greatest Common Factor of 9004

Frequently Asked Questions on GCF of 9000 and 9004

1. What is the GCF of 9000 and 9004?

Answer: GCF of 9000 and 9004 is 4.

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 9004?

Answer: Factors of 9004 are 1, 2, 4, 2251, 4502, 9004. There are 6 integers that are factors of 9004. The greatest factor of 9004 is 9004.

4. How to Find the GCF of 9000 and 9004?

Answer:

Greatest Common Factor of 9000 and 9004 = 4

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 9004

9004 = 2 x 2 x 2251

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 9000 and 9004 is 4