Greatest Common Factor of 9990 and 9996

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 9990, 9996 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9990 and 9996 is 6.

GCF(9990,9996) = 6

GCF of 9990 and 9996

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

GCF of:
and

Greatest Common Factor of 9990 and 9996

GCF of 9990 and 9996 is 6

Prime Factorization of 9990


2 9990
3 4995
3 1665
3 555
5 185
37 37
1

Prime factors of 9990 are 2,3,5,37. Prime factorization of 9990 in exponential form is:

9990 = 21×33×51×371

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

∴ So by taking common prime factors GCF of 9990 and 9996 is 6

Greatest Common Factor of 9990 and 9996 by matching factors method

Factors of 9990

List of positive integer factors of 9990 that divides 9990 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,37,45,54,74,90,111,135,185,222,270,333,370,555,666,999,1110,1665,1998,3330,4995,9990

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

Greatest Common Factor

We found the factors and prime factorization of 9990 and 9996. The biggest common factor number is the GCF number.
So the greatest common factor 9990 and 9996 is 6.

Also check out the Least Common Multiple of 9990 and 9996

Properties of GCF 9990 and 9996

(i) The GCF of 9990 and 9996 is associative

GCF of 9990 and 9996 = GCF of 9996 and 9990

Related Greatest Common Factor of 9990

Related Greatest Common Factor of 9996

Frequently Asked Questions on GCF of 9990 and 9996

1. What is the GCF of 9990 and 9996?

Answer: GCF of 9990 and 9996 is 6.

2. What are the Factors of 9990?

Answer: Factors of 9990 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 37, 45, 54, 74, 90, 111, 135, 185, 222, 270, 333, 370, 555, 666, 999, 1110, 1665, 1998, 3330, 4995, 9990. There are 32 integers that are factors of 9990. The greatest factor of 9990 is 9990.

3. 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.

4. How to Find the GCF of 9990 and 9996?

Answer:

Greatest Common Factor of 9990 and 9996 = 6

Step 1: Find the prime factorization of 9990

9990 = 2 x 3 x 3 x 3 x 5 x 37

Step 2: Find the prime factorization of 9996

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

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 9990 and 9996 is 6