Greatest Common Factor of 9828 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 9828, 9834 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9828 and 9834 is 6.

GCF(9828,9834) = 6

GCF of 9828 and 9834

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

GCF of:
and

Greatest Common Factor of 9828 and 9834

GCF of 9828 and 9834 is 6

Prime Factorization of 9828


2 9828
2 4914
3 2457
3 819
3 273
7 91
13 13
1

Prime factors of 9828 are 2,3,7,13. Prime factorization of 9828 in exponential form is:

9828 = 22×33×71×131

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 9828 and 9834 is 6

Greatest Common Factor of 9828 and 9834 by matching factors method

Factors of 9828

List of positive integer factors of 9828 that divides 9828 without a remainder.

1,2,3,4,6,7,9,12,13,14,18,21,26,27,28,36,39,42,52,54,63,78,84,91,108,117,126,156,182,189,234,252,273,351,364,378,468,546,702,756,819,1092,1404,1638,2457,3276,4914,9828

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 9828 and 9834. The biggest common factor number is the GCF number.
So the greatest common factor 9828 and 9834 is 6.

Also check out the Least Common Multiple of 9828 and 9834

Properties of GCF 9828 and 9834

(i) The GCF of 9828 and 9834 is associative

GCF of 9828 and 9834 = GCF of 9834 and 9828

Related Greatest Common Factor of 9828

Related Greatest Common Factor of 9834

Frequently Asked Questions on GCF of 9828 and 9834

1. What is the GCF of 9828 and 9834?

Answer: GCF of 9828 and 9834 is 6.

2. What are the Factors of 9828?

Answer: Factors of 9828 are 1, 2, 3, 4, 6, 7, 9, 12, 13, 14, 18, 21, 26, 27, 28, 36, 39, 42, 52, 54, 63, 78, 84, 91, 108, 117, 126, 156, 182, 189, 234, 252, 273, 351, 364, 378, 468, 546, 702, 756, 819, 1092, 1404, 1638, 2457, 3276, 4914, 9828. There are 48 integers that are factors of 9828. The greatest factor of 9828 is 9828.

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 9828 and 9834?

Answer:

Greatest Common Factor of 9828 and 9834 = 6

Step 1: Find the prime factorization of 9828

9828 = 2 x 2 x 3 x 3 x 3 x 7 x 13

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 x 3 = 6

Step 4: Therefore, the greatest common factor of 9828 and 9834 is 6