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 9717, 9718 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9717 and 9718 is 1.
GCF(9717,9718) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9717
3 | 9717 |
41 | 3239 |
79 | 79 |
1 |
Prime factors of 9717 are 3,41,79. Prime factorization of 9717 in exponential form is:
9717 = 31×411×791
Prime Factorization of 9718
2 | 9718 |
43 | 4859 |
113 | 113 |
1 |
Prime factors of 9718 are 2,43,113. Prime factorization of 9718 in exponential form is:
9718 = 21×431×1131
∴ So by taking common prime factors GCF of 9717 and 9718 is 1
Factors of 9717
List of positive integer factors of 9717 that divides 9717 without a remainder.
1,3,41,79,123,237,3239,9717
Factors of 9718
List of positive integer factors of 9718 that divides 9718 without a remainder.
1,2,43,86,113,226,4859,9718
Greatest Common Factor
We found the factors and prime factorization of 9717 and 9718. The biggest common factor number is the GCF number.
So the greatest common factor 9717 and 9718 is 1.
Also check out the Least Common Multiple of 9717 and 9718
(i) The GCF of 9717 and 9718 is associative
GCF of 9717 and 9718 = GCF of 9718 and 9717
1. What is the GCF of 9717 and 9718?
Answer: GCF of 9717 and 9718 is 1.
2. What are the Factors of 9717?
Answer: Factors of 9717 are 1, 3, 41, 79, 123, 237, 3239, 9717. There are 8 integers that are factors of 9717. The greatest factor of 9717 is 9717.
3. What are the Factors of 9718?
Answer: Factors of 9718 are 1, 2, 43, 86, 113, 226, 4859, 9718. There are 8 integers that are factors of 9718. The greatest factor of 9718 is 9718.
4. How to Find the GCF of 9717 and 9718?
Answer:
Greatest Common Factor of 9717 and 9718 = 1
Step 1: Find the prime factorization of 9717
9717 = 3 x 41 x 79
Step 2: Find the prime factorization of 9718
9718 = 2 x 43 x 113
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 9717 and 9718 is 1