Greatest Common Factor of 9840 and 9848

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, 9848 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9840 and 9848 is 8.

GCF(9840,9848) = 8

GCF of 9840 and 9848

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

GCF of:
and

Greatest Common Factor of 9840 and 9848

GCF of 9840 and 9848 is 8

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 9848


2 9848
2 4924
2 2462
1231 1231
1

Prime factors of 9848 are 2,1231. Prime factorization of 9848 in exponential form is:

9848 = 23×12311

∴ So by taking common prime factors GCF of 9840 and 9848 is 8

Greatest Common Factor of 9840 and 9848 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 9848

List of positive integer factors of 9848 that divides 9848 without a remainder.

1,2,4,8,1231,2462,4924,9848

Greatest Common Factor

We found the factors and prime factorization of 9840 and 9848. The biggest common factor number is the GCF number.
So the greatest common factor 9840 and 9848 is 8.

Also check out the Least Common Multiple of 9840 and 9848

Properties of GCF 9840 and 9848

(i) The GCF of 9840 and 9848 is associative

GCF of 9840 and 9848 = GCF of 9848 and 9840

Related Greatest Common Factor of 9840

Related Greatest Common Factor of 9848

Frequently Asked Questions on GCF of 9840 and 9848

1. What is the GCF of 9840 and 9848?

Answer: GCF of 9840 and 9848 is 8.

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 9848?

Answer: Factors of 9848 are 1, 2, 4, 8, 1231, 2462, 4924, 9848. There are 8 integers that are factors of 9848. The greatest factor of 9848 is 9848.

4. How to Find the GCF of 9840 and 9848?

Answer:

Greatest Common Factor of 9840 and 9848 = 8

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 9848

9848 = 2 x 2 x 2 x 1231

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 9840 and 9848 is 8