Greatest Common Factor of 9826 and 9834

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 9826, 9834 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9826 and 9834 is 2.

GCF(9826,9834) = 2

GCF of 9826 and 9834

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

GCF of:
and

Greatest Common Factor of 9826 and 9834

GCF of 9826 and 9834 is 2

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

Prime Factorization of 9834


2 9834
3 4917
11 1639
149 149
1

Prime factors of 9834 are 2,3,11,149. Prime factorization of 9834 in exponential form is:

9834 = 21×31×111×1491

∴ So by taking common prime factors GCF of 9826 and 9834 is 2

Greatest Common Factor of 9826 and 9834 by matching factors method

Factors of 9826

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

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

Factors of 9834

List of positive integer factors of 9834 that divides 9834 without a remainder.

1,2,3,6,11,22,33,66,149,298,447,894,1639,3278,4917,9834

Greatest Common Factor

We found the factors and prime factorization of 9826 and 9834. The biggest common factor number is the GCF number.
So the greatest common factor 9826 and 9834 is 2.

Also check out the Least Common Multiple of 9826 and 9834

Properties of GCF 9826 and 9834

(i) The GCF of 9826 and 9834 is associative

GCF of 9826 and 9834 = GCF of 9834 and 9826

Related Greatest Common Factor of 9826

Related Greatest Common Factor of 9834

Frequently Asked Questions on GCF of 9826 and 9834

1. What is the GCF of 9826 and 9834?

Answer: GCF of 9826 and 9834 is 2.

2. 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.

3. What are the Factors of 9834?

Answer: Factors of 9834 are 1, 2, 3, 6, 11, 22, 33, 66, 149, 298, 447, 894, 1639, 3278, 4917, 9834. There are 16 integers that are factors of 9834. The greatest factor of 9834 is 9834.

4. How to Find the GCF of 9826 and 9834?

Answer:

Greatest Common Factor of 9826 and 9834 = 2

Step 1: Find the prime factorization of 9826

9826 = 2 x 17 x 17 x 17

Step 2: Find the prime factorization of 9834

9834 = 2 x 3 x 11 x 149

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 9826 and 9834 is 2