Greatest Common Factor of 9995 and 10000

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 9995, 10000 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9995 and 10000 is 5.

GCF(9995,10000) = 5

GCF of 9995 and 10000

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

GCF of:
and

Greatest Common Factor of 9995 and 10000

GCF of 9995 and 10000 is 5

Prime Factorization of 9995


5 9995
1999 1999
1

Prime factors of 9995 are 5,1999. Prime factorization of 9995 in exponential form is:

9995 = 51×19991

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

∴ So by taking common prime factors GCF of 9995 and 10000 is 5

Greatest Common Factor of 9995 and 10000 by matching factors method

Factors of 9995

List of positive integer factors of 9995 that divides 9995 without a remainder.

1,5,1999,9995

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

Greatest Common Factor

We found the factors and prime factorization of 9995 and 10000. The biggest common factor number is the GCF number.
So the greatest common factor 9995 and 10000 is 5.

Also check out the Least Common Multiple of 9995 and 10000

Properties of GCF 9995 and 10000

(i) The GCF of 9995 and 10000 is associative

GCF of 9995 and 10000 = GCF of 10000 and 9995

Related Greatest Common Factor of 9995

Related Greatest Common Factor of 10000

Frequently Asked Questions on GCF of 9995 and 10000

1. What is the GCF of 9995 and 10000?

Answer: GCF of 9995 and 10000 is 5.

2. What are the Factors of 9995?

Answer: Factors of 9995 are 1, 5, 1999, 9995. There are 4 integers that are factors of 9995. The greatest factor of 9995 is 9995.

3. 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.

4. How to Find the GCF of 9995 and 10000?

Answer:

Greatest Common Factor of 9995 and 10000 = 5

Step 1: Find the prime factorization of 9995

9995 = 5 x 1999

Step 2: Find the prime factorization of 10000

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

Step 4: Therefore, the greatest common factor of 9995 and 10000 is 5