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, 9708 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9705 and 9708 is 3.
GCF(9705,9708) = 3
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 9708
2 | 9708 |
2 | 4854 |
3 | 2427 |
809 | 809 |
1 |
Prime factors of 9708 are 2,3,809. Prime factorization of 9708 in exponential form is:
9708 = 22×31×8091
∴ So by taking common prime factors GCF of 9705 and 9708 is 3
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 9708
List of positive integer factors of 9708 that divides 9708 without a remainder.
1,2,3,4,6,12,809,1618,2427,3236,4854,9708
Greatest Common Factor
We found the factors and prime factorization of 9705 and 9708. The biggest common factor number is the GCF number.
So the greatest common factor 9705 and 9708 is 3.
Also check out the Least Common Multiple of 9705 and 9708
(i) The GCF of 9705 and 9708 is associative
GCF of 9705 and 9708 = GCF of 9708 and 9705
1. What is the GCF of 9705 and 9708?
Answer: GCF of 9705 and 9708 is 3.
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 9708?
Answer: Factors of 9708 are 1, 2, 3, 4, 6, 12, 809, 1618, 2427, 3236, 4854, 9708. There are 12 integers that are factors of 9708. The greatest factor of 9708 is 9708.
4. How to Find the GCF of 9705 and 9708?
Answer:
Greatest Common Factor of 9705 and 9708 = 3
Step 1: Find the prime factorization of 9705
9705 = 3 x 5 x 647
Step 2: Find the prime factorization of 9708
9708 = 2 x 2 x 3 x 809
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 9705 and 9708 is 3