Greatest Common Factor of 9840 and 9844

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, 9844 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9840 and 9844 is 4.

GCF(9840,9844) = 4

GCF of 9840 and 9844

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

GCF of:
and

Greatest Common Factor of 9840 and 9844

GCF of 9840 and 9844 is 4

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 9844


2 9844
2 4922
23 2461
107 107
1

Prime factors of 9844 are 2,23,107. Prime factorization of 9844 in exponential form is:

9844 = 22×231×1071

∴ So by taking common prime factors GCF of 9840 and 9844 is 4

Greatest Common Factor of 9840 and 9844 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 9844

List of positive integer factors of 9844 that divides 9844 without a remainder.

1,2,4,23,46,92,107,214,428,2461,4922,9844

Greatest Common Factor

We found the factors and prime factorization of 9840 and 9844. The biggest common factor number is the GCF number.
So the greatest common factor 9840 and 9844 is 4.

Also check out the Least Common Multiple of 9840 and 9844

Properties of GCF 9840 and 9844

(i) The GCF of 9840 and 9844 is associative

GCF of 9840 and 9844 = GCF of 9844 and 9840

Related Greatest Common Factor of 9840

Related Greatest Common Factor of 9844

Frequently Asked Questions on GCF of 9840 and 9844

1. What is the GCF of 9840 and 9844?

Answer: GCF of 9840 and 9844 is 4.

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 9844?

Answer: Factors of 9844 are 1, 2, 4, 23, 46, 92, 107, 214, 428, 2461, 4922, 9844. There are 12 integers that are factors of 9844. The greatest factor of 9844 is 9844.

4. How to Find the GCF of 9840 and 9844?

Answer:

Greatest Common Factor of 9840 and 9844 = 4

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 9844

9844 = 2 x 2 x 23 x 107

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 9840 and 9844 is 4