Greatest Common Factor of 9996 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 9996, 10000 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9996 and 10000 is 4.

GCF(9996,10000) = 4

GCF of 9996 and 10000

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

GCF of:
and

Greatest Common Factor of 9996 and 10000

GCF of 9996 and 10000 is 4

Prime Factorization of 9996


2 9996
2 4998
3 2499
7 833
7 119
17 17
1

Prime factors of 9996 are 2,3,7,17. Prime factorization of 9996 in exponential form is:

9996 = 22×31×72×171

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 9996 and 10000 is 4

Greatest Common Factor of 9996 and 10000 by matching factors method

Factors of 9996

List of positive integer factors of 9996 that divides 9996 without a remainder.

1,2,3,4,6,7,12,14,17,21,28,34,42,49,51,68,84,98,102,119,147,196,204,238,294,357,476,588,714,833,1428,1666,2499,3332,4998,9996

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 9996 and 10000. The biggest common factor number is the GCF number.
So the greatest common factor 9996 and 10000 is 4.

Also check out the Least Common Multiple of 9996 and 10000

Properties of GCF 9996 and 10000

(i) The GCF of 9996 and 10000 is associative

GCF of 9996 and 10000 = GCF of 10000 and 9996

Related Greatest Common Factor of 9996

Related Greatest Common Factor of 10000

Frequently Asked Questions on GCF of 9996 and 10000

1. What is the GCF of 9996 and 10000?

Answer: GCF of 9996 and 10000 is 4.

2. What are the Factors of 9996?

Answer: Factors of 9996 are 1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 49, 51, 68, 84, 98, 102, 119, 147, 196, 204, 238, 294, 357, 476, 588, 714, 833, 1428, 1666, 2499, 3332, 4998, 9996. There are 36 integers that are factors of 9996. The greatest factor of 9996 is 9996.

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 9996 and 10000?

Answer:

Greatest Common Factor of 9996 and 10000 = 4

Step 1: Find the prime factorization of 9996

9996 = 2 x 2 x 3 x 7 x 7 x 17

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 = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 9996 and 10000 is 4