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 9718, 9723 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9718 and 9723 is 1.
GCF(9718,9723) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 9723
3 | 9723 |
7 | 3241 |
463 | 463 |
1 |
Prime factors of 9723 are 3,7,463. Prime factorization of 9723 in exponential form is:
9723 = 31×71×4631
∴ So by taking common prime factors GCF of 9718 and 9723 is 1
Factors of 9718
List of positive integer factors of 9718 that divides 9718 without a remainder.
1,2,43,86,113,226,4859,9718
Factors of 9723
List of positive integer factors of 9723 that divides 9723 without a remainder.
1,3,7,21,463,1389,3241,9723
Greatest Common Factor
We found the factors and prime factorization of 9718 and 9723. The biggest common factor number is the GCF number.
So the greatest common factor 9718 and 9723 is 1.
Also check out the Least Common Multiple of 9718 and 9723
(i) The GCF of 9718 and 9723 is associative
GCF of 9718 and 9723 = GCF of 9723 and 9718
1. What is the GCF of 9718 and 9723?
Answer: GCF of 9718 and 9723 is 1.
2. 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.
3. What are the Factors of 9723?
Answer: Factors of 9723 are 1, 3, 7, 21, 463, 1389, 3241, 9723. There are 8 integers that are factors of 9723. The greatest factor of 9723 is 9723.
4. How to Find the GCF of 9718 and 9723?
Answer:
Greatest Common Factor of 9718 and 9723 = 1
Step 1: Find the prime factorization of 9718
9718 = 2 x 43 x 113
Step 2: Find the prime factorization of 9723
9723 = 3 x 7 x 463
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 9718 and 9723 is 1