Greatest Common Factor of 9818 and 9826

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 9818, 9826 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9818 and 9826 is 2.

GCF(9818,9826) = 2

GCF of 9818 and 9826

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

GCF of:
and

Greatest Common Factor of 9818 and 9826

GCF of 9818 and 9826 is 2

Prime Factorization of 9818


2 9818
4909 4909
1

Prime factors of 9818 are 2,4909. Prime factorization of 9818 in exponential form is:

9818 = 21×49091

Prime Factorization of 9826


2 9826
17 4913
17 289
17 17
1

Prime factors of 9826 are 2,17. Prime factorization of 9826 in exponential form is:

9826 = 21×173

∴ So by taking common prime factors GCF of 9818 and 9826 is 2

Greatest Common Factor of 9818 and 9826 by matching factors method

Factors of 9818

List of positive integer factors of 9818 that divides 9818 without a remainder.

1,2,4909,9818

Factors of 9826

List of positive integer factors of 9826 that divides 9826 without a remainder.

1,2,17,34,289,578,4913,9826

Greatest Common Factor

We found the factors and prime factorization of 9818 and 9826. The biggest common factor number is the GCF number.
So the greatest common factor 9818 and 9826 is 2.

Also check out the Least Common Multiple of 9818 and 9826

Properties of GCF 9818 and 9826

(i) The GCF of 9818 and 9826 is associative

GCF of 9818 and 9826 = GCF of 9826 and 9818

Related Greatest Common Factor of 9818

Related Greatest Common Factor of 9826

Frequently Asked Questions on GCF of 9818 and 9826

1. What is the GCF of 9818 and 9826?

Answer: GCF of 9818 and 9826 is 2.

2. What are the Factors of 9818?

Answer: Factors of 9818 are 1, 2, 4909, 9818. There are 4 integers that are factors of 9818. The greatest factor of 9818 is 9818.

3. What are the Factors of 9826?

Answer: Factors of 9826 are 1, 2, 17, 34, 289, 578, 4913, 9826. There are 8 integers that are factors of 9826. The greatest factor of 9826 is 9826.

4. How to Find the GCF of 9818 and 9826?

Answer:

Greatest Common Factor of 9818 and 9826 = 2

Step 1: Find the prime factorization of 9818

9818 = 2 x 4909

Step 2: Find the prime factorization of 9826

9826 = 2 x 17 x 17 x 17

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 9818 and 9826 is 2