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 9789, 9795 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9789 and 9795 is 3.
GCF(9789,9795) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9789
3 | 9789 |
13 | 3263 |
251 | 251 |
1 |
Prime factors of 9789 are 3,13,251. Prime factorization of 9789 in exponential form is:
9789 = 31×131×2511
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
∴ So by taking common prime factors GCF of 9789 and 9795 is 3
Factors of 9789
List of positive integer factors of 9789 that divides 9789 without a remainder.
1,3,13,39,251,753,3263,9789
Factors of 9795
List of positive integer factors of 9795 that divides 9795 without a remainder.
1,3,5,15,653,1959,3265,9795
Greatest Common Factor
We found the factors and prime factorization of 9789 and 9795. The biggest common factor number is the GCF number.
So the greatest common factor 9789 and 9795 is 3.
Also check out the Least Common Multiple of 9789 and 9795
(i) The GCF of 9789 and 9795 is associative
GCF of 9789 and 9795 = GCF of 9795 and 9789
1. What is the GCF of 9789 and 9795?
Answer: GCF of 9789 and 9795 is 3.
2. What are the Factors of 9789?
Answer: Factors of 9789 are 1, 3, 13, 39, 251, 753, 3263, 9789. There are 8 integers that are factors of 9789. The greatest factor of 9789 is 9789.
3. 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.
4. How to Find the GCF of 9789 and 9795?
Answer:
Greatest Common Factor of 9789 and 9795 = 3
Step 1: Find the prime factorization of 9789
9789 = 3 x 13 x 251
Step 2: Find the prime factorization of 9795
9795 = 3 x 5 x 653
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 9789 and 9795 is 3