Greatest Common Factor of 9834 and 9840

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, 9840 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9834 and 9840 is 6.

GCF(9834,9840) = 6

GCF of 9834 and 9840

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

GCF of:
and

Greatest Common Factor of 9834 and 9840

GCF of 9834 and 9840 is 6

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 9840


2 9840
2 4920
2 2460
2 1230
3 615
5 205
41 41
1

Prime factors of 9840 are 2,3,5,41. Prime factorization of 9840 in exponential form is:

9840 = 24×31×51×411

∴ So by taking common prime factors GCF of 9834 and 9840 is 6

Greatest Common Factor of 9834 and 9840 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 9840

List of positive integer factors of 9840 that divides 9840 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,41,48,60,80,82,120,123,164,205,240,246,328,410,492,615,656,820,984,1230,1640,1968,2460,3280,4920,9840

Greatest Common Factor

We found the factors and prime factorization of 9834 and 9840. The biggest common factor number is the GCF number.
So the greatest common factor 9834 and 9840 is 6.

Also check out the Least Common Multiple of 9834 and 9840

Properties of GCF 9834 and 9840

(i) The GCF of 9834 and 9840 is associative

GCF of 9834 and 9840 = GCF of 9840 and 9834

Related Greatest Common Factor of 9834

Related Greatest Common Factor of 9840

Frequently Asked Questions on GCF of 9834 and 9840

1. What is the GCF of 9834 and 9840?

Answer: GCF of 9834 and 9840 is 6.

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 9840?

Answer: Factors of 9840 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 41, 48, 60, 80, 82, 120, 123, 164, 205, 240, 246, 328, 410, 492, 615, 656, 820, 984, 1230, 1640, 1968, 2460, 3280, 4920, 9840. There are 40 integers that are factors of 9840. The greatest factor of 9840 is 9840.

4. How to Find the GCF of 9834 and 9840?

Answer:

Greatest Common Factor of 9834 and 9840 = 6

Step 1: Find the prime factorization of 9834

9834 = 2 x 3 x 11 x 149

Step 2: Find the prime factorization of 9840

9840 = 2 x 2 x 2 x 2 x 3 x 5 x 41

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 9834 and 9840 is 6