Greatest Common Factor of 9840 and 9846

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, 9846 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9840 and 9846 is 6.

GCF(9840,9846) = 6

GCF of 9840 and 9846

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

GCF of:
and

Greatest Common Factor of 9840 and 9846

GCF of 9840 and 9846 is 6

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 9846


2 9846
3 4923
3 1641
547 547
1

Prime factors of 9846 are 2,3,547. Prime factorization of 9846 in exponential form is:

9846 = 21×32×5471

∴ So by taking common prime factors GCF of 9840 and 9846 is 6

Greatest Common Factor of 9840 and 9846 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 9846

List of positive integer factors of 9846 that divides 9846 without a remainder.

1,2,3,6,9,18,547,1094,1641,3282,4923,9846

Greatest Common Factor

We found the factors and prime factorization of 9840 and 9846. The biggest common factor number is the GCF number.
So the greatest common factor 9840 and 9846 is 6.

Also check out the Least Common Multiple of 9840 and 9846

Properties of GCF 9840 and 9846

(i) The GCF of 9840 and 9846 is associative

GCF of 9840 and 9846 = GCF of 9846 and 9840

Related Greatest Common Factor of 9840

Related Greatest Common Factor of 9846

Frequently Asked Questions on GCF of 9840 and 9846

1. What is the GCF of 9840 and 9846?

Answer: GCF of 9840 and 9846 is 6.

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 9846?

Answer: Factors of 9846 are 1, 2, 3, 6, 9, 18, 547, 1094, 1641, 3282, 4923, 9846. There are 12 integers that are factors of 9846. The greatest factor of 9846 is 9846.

4. How to Find the GCF of 9840 and 9846?

Answer:

Greatest Common Factor of 9840 and 9846 = 6

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 9846

9846 = 2 x 3 x 3 x 547

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 9840 and 9846 is 6