Greatest Common Factor of 8997 and 9000

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 8997, 9000 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8997 and 9000 is 3.

GCF(8997,9000) = 3

GCF of 8997 and 9000

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

GCF of:
and

Greatest Common Factor of 8997 and 9000

GCF of 8997 and 9000 is 3

Prime Factorization of 8997


3 8997
2999 2999
1

Prime factors of 8997 are 3,2999. Prime factorization of 8997 in exponential form is:

8997 = 31×29991

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

∴ So by taking common prime factors GCF of 8997 and 9000 is 3

Greatest Common Factor of 8997 and 9000 by matching factors method

Factors of 8997

List of positive integer factors of 8997 that divides 8997 without a remainder.

1,3,2999,8997

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

Greatest Common Factor

We found the factors and prime factorization of 8997 and 9000. The biggest common factor number is the GCF number.
So the greatest common factor 8997 and 9000 is 3.

Also check out the Least Common Multiple of 8997 and 9000

Properties of GCF 8997 and 9000

(i) The GCF of 8997 and 9000 is associative

GCF of 8997 and 9000 = GCF of 9000 and 8997

Related Greatest Common Factor of 8997

Related Greatest Common Factor of 9000

Frequently Asked Questions on GCF of 8997 and 9000

1. What is the GCF of 8997 and 9000?

Answer: GCF of 8997 and 9000 is 3.

2. What are the Factors of 8997?

Answer: Factors of 8997 are 1, 3, 2999, 8997. There are 4 integers that are factors of 8997. The greatest factor of 8997 is 8997.

3. 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.

4. How to Find the GCF of 8997 and 9000?

Answer:

Greatest Common Factor of 8997 and 9000 = 3

Step 1: Find the prime factorization of 8997

8997 = 3 x 2999

Step 2: Find the prime factorization of 9000

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

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

GCF = 3

Step 4: Therefore, the greatest common factor of 8997 and 9000 is 3