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, 9989 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9985 and 9989 is 1.
GCF(9985,9989) = 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 9989
7 | 9989 |
1427 | 1427 |
1 |
Prime factors of 9989 are 7,1427. Prime factorization of 9989 in exponential form is:
9989 = 71×14271
∴ So by taking common prime factors GCF of 9985 and 9989 is 1
Factors of 9985
List of positive integer factors of 9985 that divides 9985 without a remainder.
1,5,1997,9985
Factors of 9989
List of positive integer factors of 9989 that divides 9989 without a remainder.
1,7,1427,9989
Greatest Common Factor
We found the factors and prime factorization of 9985 and 9989. The biggest common factor number is the GCF number.
So the greatest common factor 9985 and 9989 is 1.
Also check out the Least Common Multiple of 9985 and 9989
(i) The GCF of 9985 and 9989 is associative
GCF of 9985 and 9989 = GCF of 9989 and 9985
1. What is the GCF of 9985 and 9989?
Answer: GCF of 9985 and 9989 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 9989?
Answer: Factors of 9989 are 1, 7, 1427, 9989. There are 4 integers that are factors of 9989. The greatest factor of 9989 is 9989.
4. How to Find the GCF of 9985 and 9989?
Answer:
Greatest Common Factor of 9985 and 9989 = 1
Step 1: Find the prime factorization of 9985
9985 = 5 x 1997
Step 2: Find the prime factorization of 9989
9989 = 7 x 1427
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 9989 is 1