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, 10004 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9998 and 10004 is 2.
GCF(9998,10004) = 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 10004
2 | 10004 |
2 | 5002 |
41 | 2501 |
61 | 61 |
1 |
Prime factors of 10004 are 2,41,61. Prime factorization of 10004 in exponential form is:
10004 = 22×411×611
∴ So by taking common prime factors GCF of 9998 and 10004 is 2
Factors of 9998
List of positive integer factors of 9998 that divides 9998 without a remainder.
1,2,4999,9998
Factors of 10004
List of positive integer factors of 10004 that divides 10004 without a remainder.
1,2,4,41,61,82,122,164,244,2501,5002,10004
Greatest Common Factor
We found the factors and prime factorization of 9998 and 10004. The biggest common factor number is the GCF number.
So the greatest common factor 9998 and 10004 is 2.
Also check out the Least Common Multiple of 9998 and 10004
(i) The GCF of 9998 and 10004 is associative
GCF of 9998 and 10004 = GCF of 10004 and 9998
1. What is the GCF of 9998 and 10004?
Answer: GCF of 9998 and 10004 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 10004?
Answer: Factors of 10004 are 1, 2, 4, 41, 61, 82, 122, 164, 244, 2501, 5002, 10004. There are 12 integers that are factors of 10004. The greatest factor of 10004 is 10004.
4. How to Find the GCF of 9998 and 10004?
Answer:
Greatest Common Factor of 9998 and 10004 = 2
Step 1: Find the prime factorization of 9998
9998 = 2 x 4999
Step 2: Find the prime factorization of 10004
10004 = 2 x 2 x 41 x 61
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 10004 is 2