Greatest Common Factor of 9000 and 9001

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, 9001 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9000 and 9001 is 1.

GCF(9000,9001) = 1

GCF of 9000 and 9001

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

GCF of:
and

Greatest Common Factor of 9000 and 9001

GCF of 9000 and 9001 is 1

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 9001


9001 9001
1

Prime factors of 9001 are 9001. Prime factorization of 9001 in exponential form is:

9001 = 90011

∴ So by taking common prime factors GCF of 9000 and 9001 is 1

Greatest Common Factor of 9000 and 9001 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 9001

List of positive integer factors of 9001 that divides 9001 without a remainder.

1,9001

Greatest Common Factor

We found the factors and prime factorization of 9000 and 9001. The biggest common factor number is the GCF number.
So the greatest common factor 9000 and 9001 is 1.

Also check out the Least Common Multiple of 9000 and 9001

Properties of GCF 9000 and 9001

(i) The GCF of 9000 and 9001 is associative

GCF of 9000 and 9001 = GCF of 9001 and 9000

Related Greatest Common Factor of 9000

Related Greatest Common Factor of 9001

Frequently Asked Questions on GCF of 9000 and 9001

1. What is the GCF of 9000 and 9001?

Answer: GCF of 9000 and 9001 is 1.

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 9001?

Answer: Factors of 9001 are 1, 9001. There are 2 integers that are factors of 9001. The greatest factor of 9001 is 9001.

4. How to Find the GCF of 9000 and 9001?

Answer:

Greatest Common Factor of 9000 and 9001 = 1

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 9001

9001 = 9001

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 9000 and 9001 is 1