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 9805, 9809 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9805 and 9809 is 1.
GCF(9805,9809) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9805
5 | 9805 |
37 | 1961 |
53 | 53 |
1 |
Prime factors of 9805 are 5,37,53. Prime factorization of 9805 in exponential form is:
9805 = 51×371×531
Prime Factorization of 9809
17 | 9809 |
577 | 577 |
1 |
Prime factors of 9809 are 17,577. Prime factorization of 9809 in exponential form is:
9809 = 171×5771
∴ So by taking common prime factors GCF of 9805 and 9809 is 1
Factors of 9805
List of positive integer factors of 9805 that divides 9805 without a remainder.
1,5,37,53,185,265,1961,9805
Factors of 9809
List of positive integer factors of 9809 that divides 9809 without a remainder.
1,17,577,9809
Greatest Common Factor
We found the factors and prime factorization of 9805 and 9809. The biggest common factor number is the GCF number.
So the greatest common factor 9805 and 9809 is 1.
Also check out the Least Common Multiple of 9805 and 9809
(i) The GCF of 9805 and 9809 is associative
GCF of 9805 and 9809 = GCF of 9809 and 9805
1. What is the GCF of 9805 and 9809?
Answer: GCF of 9805 and 9809 is 1.
2. What are the Factors of 9805?
Answer: Factors of 9805 are 1, 5, 37, 53, 185, 265, 1961, 9805. There are 8 integers that are factors of 9805. The greatest factor of 9805 is 9805.
3. What are the Factors of 9809?
Answer: Factors of 9809 are 1, 17, 577, 9809. There are 4 integers that are factors of 9809. The greatest factor of 9809 is 9809.
4. How to Find the GCF of 9805 and 9809?
Answer:
Greatest Common Factor of 9805 and 9809 = 1
Step 1: Find the prime factorization of 9805
9805 = 5 x 37 x 53
Step 2: Find the prime factorization of 9809
9809 = 17 x 577
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 9805 and 9809 is 1