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 9795, 9803 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9795 and 9803 is 1.
GCF(9795,9803) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9795
3 | 9795 |
5 | 3265 |
653 | 653 |
1 |
Prime factors of 9795 are 3,5,653. Prime factorization of 9795 in exponential form is:
9795 = 31×51×6531
Prime Factorization of 9803
9803 | 9803 |
1 |
Prime factors of 9803 are 9803. Prime factorization of 9803 in exponential form is:
9803 = 98031
∴ So by taking common prime factors GCF of 9795 and 9803 is 1
Factors of 9795
List of positive integer factors of 9795 that divides 9795 without a remainder.
1,3,5,15,653,1959,3265,9795
Factors of 9803
List of positive integer factors of 9803 that divides 9803 without a remainder.
1,9803
Greatest Common Factor
We found the factors and prime factorization of 9795 and 9803. The biggest common factor number is the GCF number.
So the greatest common factor 9795 and 9803 is 1.
Also check out the Least Common Multiple of 9795 and 9803
(i) The GCF of 9795 and 9803 is associative
GCF of 9795 and 9803 = GCF of 9803 and 9795
1. What is the GCF of 9795 and 9803?
Answer: GCF of 9795 and 9803 is 1.
2. What are the Factors of 9795?
Answer: Factors of 9795 are 1, 3, 5, 15, 653, 1959, 3265, 9795. There are 8 integers that are factors of 9795. The greatest factor of 9795 is 9795.
3. What are the Factors of 9803?
Answer: Factors of 9803 are 1, 9803. There are 2 integers that are factors of 9803. The greatest factor of 9803 is 9803.
4. How to Find the GCF of 9795 and 9803?
Answer:
Greatest Common Factor of 9795 and 9803 = 1
Step 1: Find the prime factorization of 9795
9795 = 3 x 5 x 653
Step 2: Find the prime factorization of 9803
9803 = 9803
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 9795 and 9803 is 1