Greatest Common Factor of 9996 and 9999

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, 9999 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9996 and 9999 is 3.

GCF(9996,9999) = 3

GCF of 9996 and 9999

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

GCF of:
and

Greatest Common Factor of 9996 and 9999

GCF of 9996 and 9999 is 3

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 9999


3 9999
3 3333
11 1111
101 101
1

Prime factors of 9999 are 3,11,101. Prime factorization of 9999 in exponential form is:

9999 = 32×111×1011

∴ So by taking common prime factors GCF of 9996 and 9999 is 3

Greatest Common Factor of 9996 and 9999 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 9999

List of positive integer factors of 9999 that divides 9999 without a remainder.

1,3,9,11,33,99,101,303,909,1111,3333,9999

Greatest Common Factor

We found the factors and prime factorization of 9996 and 9999. The biggest common factor number is the GCF number.
So the greatest common factor 9996 and 9999 is 3.

Also check out the Least Common Multiple of 9996 and 9999

Properties of GCF 9996 and 9999

(i) The GCF of 9996 and 9999 is associative

GCF of 9996 and 9999 = GCF of 9999 and 9996

Related Greatest Common Factor of 9996

Related Greatest Common Factor of 9999

Frequently Asked Questions on GCF of 9996 and 9999

1. What is the GCF of 9996 and 9999?

Answer: GCF of 9996 and 9999 is 3.

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 9999?

Answer: Factors of 9999 are 1, 3, 9, 11, 33, 99, 101, 303, 909, 1111, 3333, 9999. There are 12 integers that are factors of 9999. The greatest factor of 9999 is 9999.

4. How to Find the GCF of 9996 and 9999?

Answer:

Greatest Common Factor of 9996 and 9999 = 3

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 9999

9999 = 3 x 3 x 11 x 101

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 9996 and 9999 is 3