Greatest Common Factor of 9714 and 9717

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 9714, 9717 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9714 and 9717 is 3.

GCF(9714,9717) = 3

GCF of 9714 and 9717

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

GCF of:
and

Greatest Common Factor of 9714 and 9717

GCF of 9714 and 9717 is 3

Prime Factorization of 9714


2 9714
3 4857
1619 1619
1

Prime factors of 9714 are 2,3,1619. Prime factorization of 9714 in exponential form is:

9714 = 21×31×16191

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

∴ So by taking common prime factors GCF of 9714 and 9717 is 3

Greatest Common Factor of 9714 and 9717 by matching factors method

Factors of 9714

List of positive integer factors of 9714 that divides 9714 without a remainder.

1,2,3,6,1619,3238,4857,9714

Factors of 9717

List of positive integer factors of 9717 that divides 9717 without a remainder.

1,3,41,79,123,237,3239,9717

Greatest Common Factor

We found the factors and prime factorization of 9714 and 9717. The biggest common factor number is the GCF number.
So the greatest common factor 9714 and 9717 is 3.

Also check out the Least Common Multiple of 9714 and 9717

Properties of GCF 9714 and 9717

(i) The GCF of 9714 and 9717 is associative

GCF of 9714 and 9717 = GCF of 9717 and 9714

Related Greatest Common Factor of 9714

Related Greatest Common Factor of 9717

Frequently Asked Questions on GCF of 9714 and 9717

1. What is the GCF of 9714 and 9717?

Answer: GCF of 9714 and 9717 is 3.

2. What are the Factors of 9714?

Answer: Factors of 9714 are 1, 2, 3, 6, 1619, 3238, 4857, 9714. There are 8 integers that are factors of 9714. The greatest factor of 9714 is 9714.

3. 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.

4. How to Find the GCF of 9714 and 9717?

Answer:

Greatest Common Factor of 9714 and 9717 = 3

Step 1: Find the prime factorization of 9714

9714 = 2 x 3 x 1619

Step 2: Find the prime factorization of 9717

9717 = 3 x 41 x 79

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 9714 and 9717 is 3