Greatest Common Factor of 9842 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 9842, 9848 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9842 and 9848 is 2.

GCF(9842,9848) = 2

GCF of 9842 and 9848

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

GCF of:
and

Greatest Common Factor of 9842 and 9848

GCF of 9842 and 9848 is 2

Prime Factorization of 9842


2 9842
7 4921
19 703
37 37
1

Prime factors of 9842 are 2,7,19,37. Prime factorization of 9842 in exponential form is:

9842 = 21×71×191×371

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 9842 and 9848 is 2

Greatest Common Factor of 9842 and 9848 by matching factors method

Factors of 9842

List of positive integer factors of 9842 that divides 9842 without a remainder.

1,2,7,14,19,37,38,74,133,259,266,518,703,1406,4921,9842

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 9842 and 9848. The biggest common factor number is the GCF number.
So the greatest common factor 9842 and 9848 is 2.

Also check out the Least Common Multiple of 9842 and 9848

Properties of GCF 9842 and 9848

(i) The GCF of 9842 and 9848 is associative

GCF of 9842 and 9848 = GCF of 9848 and 9842

Related Greatest Common Factor of 9842

Related Greatest Common Factor of 9848

Frequently Asked Questions on GCF of 9842 and 9848

1. What is the GCF of 9842 and 9848?

Answer: GCF of 9842 and 9848 is 2.

2. What are the Factors of 9842?

Answer: Factors of 9842 are 1, 2, 7, 14, 19, 37, 38, 74, 133, 259, 266, 518, 703, 1406, 4921, 9842. There are 16 integers that are factors of 9842. The greatest factor of 9842 is 9842.

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 9842 and 9848?

Answer:

Greatest Common Factor of 9842 and 9848 = 2

Step 1: Find the prime factorization of 9842

9842 = 2 x 7 x 19 x 37

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

Step 4: Therefore, the greatest common factor of 9842 and 9848 is 2