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, 10000 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9999 and 10000 is 1.
GCF(9999,10000) = 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 10000
2 | 10000 |
2 | 5000 |
2 | 2500 |
2 | 1250 |
5 | 625 |
5 | 125 |
5 | 25 |
5 | 5 |
1 |
Prime factors of 10000 are 2,5. Prime factorization of 10000 in exponential form is:
10000 = 24×54
∴ So by taking common prime factors GCF of 9999 and 10000 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 10000
List of positive integer factors of 10000 that divides 10000 without a remainder.
1,2,4,5,8,10,16,20,25,40,50,80,100,125,200,250,400,500,625,1000,1250,2000,2500,5000,10000
Greatest Common Factor
We found the factors and prime factorization of 9999 and 10000. The biggest common factor number is the GCF number.
So the greatest common factor 9999 and 10000 is 1.
Also check out the Least Common Multiple of 9999 and 10000
(i) The GCF of 9999 and 10000 is associative
GCF of 9999 and 10000 = GCF of 10000 and 9999
1. What is the GCF of 9999 and 10000?
Answer: GCF of 9999 and 10000 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 10000?
Answer: Factors of 10000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 625, 1000, 1250, 2000, 2500, 5000, 10000. There are 25 integers that are factors of 10000. The greatest factor of 10000 is 10000.
4. How to Find the GCF of 9999 and 10000?
Answer:
Greatest Common Factor of 9999 and 10000 = 1
Step 1: Find the prime factorization of 9999
9999 = 3 x 3 x 11 x 101
Step 2: Find the prime factorization of 10000
10000 = 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5
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 10000 is 1