Greatest Common Factor of 9840 and 9843

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 9840, 9843 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9840 and 9843 is 3.

GCF(9840,9843) = 3

GCF of 9840 and 9843

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

GCF of:
and

Greatest Common Factor of 9840 and 9843

GCF of 9840 and 9843 is 3

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

Prime Factorization of 9843


3 9843
17 3281
193 193
1

Prime factors of 9843 are 3,17,193. Prime factorization of 9843 in exponential form is:

9843 = 31×171×1931

∴ So by taking common prime factors GCF of 9840 and 9843 is 3

Greatest Common Factor of 9840 and 9843 by matching factors method

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

Factors of 9843

List of positive integer factors of 9843 that divides 9843 without a remainder.

1,3,17,51,193,579,3281,9843

Greatest Common Factor

We found the factors and prime factorization of 9840 and 9843. The biggest common factor number is the GCF number.
So the greatest common factor 9840 and 9843 is 3.

Also check out the Least Common Multiple of 9840 and 9843

Properties of GCF 9840 and 9843

(i) The GCF of 9840 and 9843 is associative

GCF of 9840 and 9843 = GCF of 9843 and 9840

Related Greatest Common Factor of 9840

Related Greatest Common Factor of 9843

Frequently Asked Questions on GCF of 9840 and 9843

1. What is the GCF of 9840 and 9843?

Answer: GCF of 9840 and 9843 is 3.

2. 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.

3. What are the Factors of 9843?

Answer: Factors of 9843 are 1, 3, 17, 51, 193, 579, 3281, 9843. There are 8 integers that are factors of 9843. The greatest factor of 9843 is 9843.

4. How to Find the GCF of 9840 and 9843?

Answer:

Greatest Common Factor of 9840 and 9843 = 3

Step 1: Find the prime factorization of 9840

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

Step 2: Find the prime factorization of 9843

9843 = 3 x 17 x 193

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

GCF = 3

Step 4: Therefore, the greatest common factor of 9840 and 9843 is 3