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 9705, 9706 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9705 and 9706 is 1.
GCF(9705,9706) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9705
3 | 9705 |
5 | 3235 |
647 | 647 |
1 |
Prime factors of 9705 are 3,5,647. Prime factorization of 9705 in exponential form is:
9705 = 31×51×6471
Prime Factorization of 9706
2 | 9706 |
23 | 4853 |
211 | 211 |
1 |
Prime factors of 9706 are 2,23,211. Prime factorization of 9706 in exponential form is:
9706 = 21×231×2111
∴ So by taking common prime factors GCF of 9705 and 9706 is 1
Factors of 9705
List of positive integer factors of 9705 that divides 9705 without a remainder.
1,3,5,15,647,1941,3235,9705
Factors of 9706
List of positive integer factors of 9706 that divides 9706 without a remainder.
1,2,23,46,211,422,4853,9706
Greatest Common Factor
We found the factors and prime factorization of 9705 and 9706. The biggest common factor number is the GCF number.
So the greatest common factor 9705 and 9706 is 1.
Also check out the Least Common Multiple of 9705 and 9706
(i) The GCF of 9705 and 9706 is associative
GCF of 9705 and 9706 = GCF of 9706 and 9705
1. What is the GCF of 9705 and 9706?
Answer: GCF of 9705 and 9706 is 1.
2. What are the Factors of 9705?
Answer: Factors of 9705 are 1, 3, 5, 15, 647, 1941, 3235, 9705. There are 8 integers that are factors of 9705. The greatest factor of 9705 is 9705.
3. What are the Factors of 9706?
Answer: Factors of 9706 are 1, 2, 23, 46, 211, 422, 4853, 9706. There are 8 integers that are factors of 9706. The greatest factor of 9706 is 9706.
4. How to Find the GCF of 9705 and 9706?
Answer:
Greatest Common Factor of 9705 and 9706 = 1
Step 1: Find the prime factorization of 9705
9705 = 3 x 5 x 647
Step 2: Find the prime factorization of 9706
9706 = 2 x 23 x 211
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 9705 and 9706 is 1