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, 9813 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9805 and 9813 is 1.
GCF(9805,9813) = 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 9813
3 | 9813 |
3271 | 3271 |
1 |
Prime factors of 9813 are 3,3271. Prime factorization of 9813 in exponential form is:
9813 = 31×32711
∴ So by taking common prime factors GCF of 9805 and 9813 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 9813
List of positive integer factors of 9813 that divides 9813 without a remainder.
1,3,3271,9813
Greatest Common Factor
We found the factors and prime factorization of 9805 and 9813. The biggest common factor number is the GCF number.
So the greatest common factor 9805 and 9813 is 1.
Also check out the Least Common Multiple of 9805 and 9813
(i) The GCF of 9805 and 9813 is associative
GCF of 9805 and 9813 = GCF of 9813 and 9805
1. What is the GCF of 9805 and 9813?
Answer: GCF of 9805 and 9813 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 9813?
Answer: Factors of 9813 are 1, 3, 3271, 9813. There are 4 integers that are factors of 9813. The greatest factor of 9813 is 9813.
4. How to Find the GCF of 9805 and 9813?
Answer:
Greatest Common Factor of 9805 and 9813 = 1
Step 1: Find the prime factorization of 9805
9805 = 5 x 37 x 53
Step 2: Find the prime factorization of 9813
9813 = 3 x 3271
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 9813 is 1