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 9998, 10000 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9998 and 10000 is 2.
GCF(9998,10000) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9998
2 | 9998 |
4999 | 4999 |
1 |
Prime factors of 9998 are 2,4999. Prime factorization of 9998 in exponential form is:
9998 = 21×49991
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 9998 and 10000 is 2
Factors of 9998
List of positive integer factors of 9998 that divides 9998 without a remainder.
1,2,4999,9998
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 9998 and 10000. The biggest common factor number is the GCF number.
So the greatest common factor 9998 and 10000 is 2.
Also check out the Least Common Multiple of 9998 and 10000
(i) The GCF of 9998 and 10000 is associative
GCF of 9998 and 10000 = GCF of 10000 and 9998
1. What is the GCF of 9998 and 10000?
Answer: GCF of 9998 and 10000 is 2.
2. What are the Factors of 9998?
Answer: Factors of 9998 are 1, 2, 4999, 9998. There are 4 integers that are factors of 9998. The greatest factor of 9998 is 9998.
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 9998 and 10000?
Answer:
Greatest Common Factor of 9998 and 10000 = 2
Step 1: Find the prime factorization of 9998
9998 = 2 x 4999
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 = 2
Step 4: Therefore, the greatest common factor of 9998 and 10000 is 2