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 9985, 9993 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9985 and 9993 is 1.
GCF(9985,9993) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9985
5 | 9985 |
1997 | 1997 |
1 |
Prime factors of 9985 are 5,1997. Prime factorization of 9985 in exponential form is:
9985 = 51×19971
Prime Factorization of 9993
3 | 9993 |
3331 | 3331 |
1 |
Prime factors of 9993 are 3,3331. Prime factorization of 9993 in exponential form is:
9993 = 31×33311
∴ So by taking common prime factors GCF of 9985 and 9993 is 1
Factors of 9985
List of positive integer factors of 9985 that divides 9985 without a remainder.
1,5,1997,9985
Factors of 9993
List of positive integer factors of 9993 that divides 9993 without a remainder.
1,3,3331,9993
Greatest Common Factor
We found the factors and prime factorization of 9985 and 9993. The biggest common factor number is the GCF number.
So the greatest common factor 9985 and 9993 is 1.
Also check out the Least Common Multiple of 9985 and 9993
(i) The GCF of 9985 and 9993 is associative
GCF of 9985 and 9993 = GCF of 9993 and 9985
1. What is the GCF of 9985 and 9993?
Answer: GCF of 9985 and 9993 is 1.
2. What are the Factors of 9985?
Answer: Factors of 9985 are 1, 5, 1997, 9985. There are 4 integers that are factors of 9985. The greatest factor of 9985 is 9985.
3. What are the Factors of 9993?
Answer: Factors of 9993 are 1, 3, 3331, 9993. There are 4 integers that are factors of 9993. The greatest factor of 9993 is 9993.
4. How to Find the GCF of 9985 and 9993?
Answer:
Greatest Common Factor of 9985 and 9993 = 1
Step 1: Find the prime factorization of 9985
9985 = 5 x 1997
Step 2: Find the prime factorization of 9993
9993 = 3 x 3331
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 9985 and 9993 is 1