Greatest Common Factor of 9717 and 9723

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, 9723 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9717 and 9723 is 3.

GCF(9717,9723) = 3

GCF of 9717 and 9723

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 9717 and 9723

GCF of 9717 and 9723 is 3

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 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 9717 and 9723 is 3

Greatest Common Factor of 9717 and 9723 by matching factors method

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 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 9717 and 9723. The biggest common factor number is the GCF number.
So the greatest common factor 9717 and 9723 is 3.

Also check out the Least Common Multiple of 9717 and 9723

Properties of GCF 9717 and 9723

(i) The GCF of 9717 and 9723 is associative

GCF of 9717 and 9723 = GCF of 9723 and 9717

Related Greatest Common Factor of 9717

Related Greatest Common Factor of 9723

Frequently Asked Questions on GCF of 9717 and 9723

1. What is the GCF of 9717 and 9723?

Answer: GCF of 9717 and 9723 is 3.

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 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 9717 and 9723?

Answer:

Greatest Common Factor of 9717 and 9723 = 3

Step 1: Find the prime factorization of 9717

9717 = 3 x 41 x 79

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 = 3

Step 4: Therefore, the greatest common factor of 9717 and 9723 is 3