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 9999, 10003 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9999 and 10003 is 1.
GCF(9999,10003) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
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 9999 and 10003 is 1
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
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 9999 and 10003. The biggest common factor number is the GCF number.
So the greatest common factor 9999 and 10003 is 1.
Also check out the Least Common Multiple of 9999 and 10003
(i) The GCF of 9999 and 10003 is associative
GCF of 9999 and 10003 = GCF of 10003 and 9999
1. What is the GCF of 9999 and 10003?
Answer: GCF of 9999 and 10003 is 1.
2. 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.
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 9999 and 10003?
Answer:
Greatest Common Factor of 9999 and 10003 = 1
Step 1: Find the prime factorization of 9999
9999 = 3 x 3 x 11 x 101
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 = = 1
Step 4: Therefore, the greatest common factor of 9999 and 10003 is 1