Greatest Common Factor of 9717 and 9722

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, 9722 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9717 and 9722 is 1.

GCF(9717,9722) = 1

GCF of 9717 and 9722

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

GCF of:
and

Greatest Common Factor of 9717 and 9722

GCF of 9717 and 9722 is 1

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 9722


2 9722
4861 4861
1

Prime factors of 9722 are 2,4861. Prime factorization of 9722 in exponential form is:

9722 = 21×48611

∴ So by taking common prime factors GCF of 9717 and 9722 is 1

Greatest Common Factor of 9717 and 9722 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 9722

List of positive integer factors of 9722 that divides 9722 without a remainder.

1,2,4861,9722

Greatest Common Factor

We found the factors and prime factorization of 9717 and 9722. The biggest common factor number is the GCF number.
So the greatest common factor 9717 and 9722 is 1.

Also check out the Least Common Multiple of 9717 and 9722

Properties of GCF 9717 and 9722

(i) The GCF of 9717 and 9722 is associative

GCF of 9717 and 9722 = GCF of 9722 and 9717

Related Greatest Common Factor of 9717

Related Greatest Common Factor of 9722

Frequently Asked Questions on GCF of 9717 and 9722

1. What is the GCF of 9717 and 9722?

Answer: GCF of 9717 and 9722 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 9722?

Answer: Factors of 9722 are 1, 2, 4861, 9722. There are 4 integers that are factors of 9722. The greatest factor of 9722 is 9722.

4. How to Find the GCF of 9717 and 9722?

Answer:

Greatest Common Factor of 9717 and 9722 = 1

Step 1: Find the prime factorization of 9717

9717 = 3 x 41 x 79

Step 2: Find the prime factorization of 9722

9722 = 2 x 4861

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 9722 is 1