Greatest Common Factor of 10000 and 10005

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 10000, 10005 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10000 and 10005 is 5.

GCF(10000,10005) = 5

GCF of 10000 and 10005

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

GCF of:
and

Greatest Common Factor of 10000 and 10005

GCF of 10000 and 10005 is 5

Prime Factorization of 10000


2 10000
2 5000
2 2500
2 1250
5 625
5 125
5 25
5 5
1

Prime factors of 10000 are 2,5. Prime factorization of 10000 in exponential form is:

10000 = 24×54

Prime Factorization of 10005


3 10005
5 3335
23 667
29 29
1

Prime factors of 10005 are 3,5,23,29. Prime factorization of 10005 in exponential form is:

10005 = 31×51×231×291

∴ So by taking common prime factors GCF of 10000 and 10005 is 5

Greatest Common Factor of 10000 and 10005 by matching factors method

Factors of 10000

List of positive integer factors of 10000 that divides 10000 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,125,200,250,400,500,625,1000,1250,2000,2500,5000,10000

Factors of 10005

List of positive integer factors of 10005 that divides 10005 without a remainder.

1,3,5,15,23,29,69,87,115,145,345,435,667,2001,3335,10005

Greatest Common Factor

We found the factors and prime factorization of 10000 and 10005. The biggest common factor number is the GCF number.
So the greatest common factor 10000 and 10005 is 5.

Also check out the Least Common Multiple of 10000 and 10005

Properties of GCF 10000 and 10005

(i) The GCF of 10000 and 10005 is associative

GCF of 10000 and 10005 = GCF of 10005 and 10000

Related Greatest Common Factor of 10000

Related Greatest Common Factor of 10005

Frequently Asked Questions on GCF of 10000 and 10005

1. What is the GCF of 10000 and 10005?

Answer: GCF of 10000 and 10005 is 5.

2. What are the Factors of 10000?

Answer: Factors of 10000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 625, 1000, 1250, 2000, 2500, 5000, 10000. There are 25 integers that are factors of 10000. The greatest factor of 10000 is 10000.

3. What are the Factors of 10005?

Answer: Factors of 10005 are 1, 3, 5, 15, 23, 29, 69, 87, 115, 145, 345, 435, 667, 2001, 3335, 10005. There are 16 integers that are factors of 10005. The greatest factor of 10005 is 10005.

4. How to Find the GCF of 10000 and 10005?

Answer:

Greatest Common Factor of 10000 and 10005 = 5

Step 1: Find the prime factorization of 10000

10000 = 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5

Step 2: Find the prime factorization of 10005

10005 = 3 x 5 x 23 x 29

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

GCF = 5

Step 4: Therefore, the greatest common factor of 10000 and 10005 is 5