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 9992, 9998 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9992 and 9998 is 2.
GCF(9992,9998) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9992
2 | 9992 |
2 | 4996 |
2 | 2498 |
1249 | 1249 |
1 |
Prime factors of 9992 are 2,1249. Prime factorization of 9992 in exponential form is:
9992 = 23×12491
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
∴ So by taking common prime factors GCF of 9992 and 9998 is 2
Factors of 9992
List of positive integer factors of 9992 that divides 9992 without a remainder.
1,2,4,8,1249,2498,4996,9992
Factors of 9998
List of positive integer factors of 9998 that divides 9998 without a remainder.
1,2,4999,9998
Greatest Common Factor
We found the factors and prime factorization of 9992 and 9998. The biggest common factor number is the GCF number.
So the greatest common factor 9992 and 9998 is 2.
Also check out the Least Common Multiple of 9992 and 9998
(i) The GCF of 9992 and 9998 is associative
GCF of 9992 and 9998 = GCF of 9998 and 9992
1. What is the GCF of 9992 and 9998?
Answer: GCF of 9992 and 9998 is 2.
2. What are the Factors of 9992?
Answer: Factors of 9992 are 1, 2, 4, 8, 1249, 2498, 4996, 9992. There are 8 integers that are factors of 9992. The greatest factor of 9992 is 9992.
3. 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.
4. How to Find the GCF of 9992 and 9998?
Answer:
Greatest Common Factor of 9992 and 9998 = 2
Step 1: Find the prime factorization of 9992
9992 = 2 x 2 x 2 x 1249
Step 2: Find the prime factorization of 9998
9998 = 2 x 4999
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 9992 and 9998 is 2