Greatest Common Factor of 9809 and 9817

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 9809, 9817 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9809 and 9817 is 1.

GCF(9809,9817) = 1

GCF of 9809 and 9817

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

GCF of:
and

Greatest Common Factor of 9809 and 9817

GCF of 9809 and 9817 is 1

Prime Factorization of 9809


17 9809
577 577
1

Prime factors of 9809 are 17,577. Prime factorization of 9809 in exponential form is:

9809 = 171×5771

Prime Factorization of 9817


9817 9817
1

Prime factors of 9817 are 9817. Prime factorization of 9817 in exponential form is:

9817 = 98171

∴ So by taking common prime factors GCF of 9809 and 9817 is 1

Greatest Common Factor of 9809 and 9817 by matching factors method

Factors of 9809

List of positive integer factors of 9809 that divides 9809 without a remainder.

1,17,577,9809

Factors of 9817

List of positive integer factors of 9817 that divides 9817 without a remainder.

1,9817

Greatest Common Factor

We found the factors and prime factorization of 9809 and 9817. The biggest common factor number is the GCF number.
So the greatest common factor 9809 and 9817 is 1.

Also check out the Least Common Multiple of 9809 and 9817

Properties of GCF 9809 and 9817

(i) The GCF of 9809 and 9817 is associative

GCF of 9809 and 9817 = GCF of 9817 and 9809

Related Greatest Common Factor of 9809

Related Greatest Common Factor of 9817

Frequently Asked Questions on GCF of 9809 and 9817

1. What is the GCF of 9809 and 9817?

Answer: GCF of 9809 and 9817 is 1.

2. What are the Factors of 9809?

Answer: Factors of 9809 are 1, 17, 577, 9809. There are 4 integers that are factors of 9809. The greatest factor of 9809 is 9809.

3. What are the Factors of 9817?

Answer: Factors of 9817 are 1, 9817. There are 2 integers that are factors of 9817. The greatest factor of 9817 is 9817.

4. How to Find the GCF of 9809 and 9817?

Answer:

Greatest Common Factor of 9809 and 9817 = 1

Step 1: Find the prime factorization of 9809

9809 = 17 x 577

Step 2: Find the prime factorization of 9817

9817 = 9817

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 9809 and 9817 is 1