Greatest Common Factor of 9834 and 9842

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 9834, 9842 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9834 and 9842 is 2.

GCF(9834,9842) = 2

GCF of 9834 and 9842

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

GCF of:
and

Greatest Common Factor of 9834 and 9842

GCF of 9834 and 9842 is 2

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

Prime Factorization of 9842


2 9842
7 4921
19 703
37 37
1

Prime factors of 9842 are 2,7,19,37. Prime factorization of 9842 in exponential form is:

9842 = 21×71×191×371

∴ So by taking common prime factors GCF of 9834 and 9842 is 2

Greatest Common Factor of 9834 and 9842 by matching factors method

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

Factors of 9842

List of positive integer factors of 9842 that divides 9842 without a remainder.

1,2,7,14,19,37,38,74,133,259,266,518,703,1406,4921,9842

Greatest Common Factor

We found the factors and prime factorization of 9834 and 9842. The biggest common factor number is the GCF number.
So the greatest common factor 9834 and 9842 is 2.

Also check out the Least Common Multiple of 9834 and 9842

Properties of GCF 9834 and 9842

(i) The GCF of 9834 and 9842 is associative

GCF of 9834 and 9842 = GCF of 9842 and 9834

Related Greatest Common Factor of 9834

Related Greatest Common Factor of 9842

Frequently Asked Questions on GCF of 9834 and 9842

1. What is the GCF of 9834 and 9842?

Answer: GCF of 9834 and 9842 is 2.

2. 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.

3. What are the Factors of 9842?

Answer: Factors of 9842 are 1, 2, 7, 14, 19, 37, 38, 74, 133, 259, 266, 518, 703, 1406, 4921, 9842. There are 16 integers that are factors of 9842. The greatest factor of 9842 is 9842.

4. How to Find the GCF of 9834 and 9842?

Answer:

Greatest Common Factor of 9834 and 9842 = 2

Step 1: Find the prime factorization of 9834

9834 = 2 x 3 x 11 x 149

Step 2: Find the prime factorization of 9842

9842 = 2 x 7 x 19 x 37

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 9834 and 9842 is 2