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
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
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
(i) The GCF of 9990 and 9996 is associative
GCF of 9990 and 9996 = GCF of 9996 and 9990
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