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, 10003 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9996 and 10003 is 7.
GCF(9996,10003) = 7
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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 10003
7 | 10003 |
1429 | 1429 |
1 |
Prime factors of 10003 are 7,1429. Prime factorization of 10003 in exponential form is:
10003 = 71×14291
∴ So by taking common prime factors GCF of 9996 and 10003 is 7
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 10003
List of positive integer factors of 10003 that divides 10003 without a remainder.
1,7,1429,10003
Greatest Common Factor
We found the factors and prime factorization of 9996 and 10003. The biggest common factor number is the GCF number.
So the greatest common factor 9996 and 10003 is 7.
Also check out the Least Common Multiple of 9996 and 10003
(i) The GCF of 9996 and 10003 is associative
GCF of 9996 and 10003 = GCF of 10003 and 9996
1. What is the GCF of 9996 and 10003?
Answer: GCF of 9996 and 10003 is 7.
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 10003?
Answer: Factors of 10003 are 1, 7, 1429, 10003. There are 4 integers that are factors of 10003. The greatest factor of 10003 is 10003.
4. How to Find the GCF of 9996 and 10003?
Answer:
Greatest Common Factor of 9996 and 10003 = 7
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 10003
10003 = 7 x 1429
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 7
Step 4: Therefore, the greatest common factor of 9996 and 10003 is 7