Greatest Common Factor of 9842 and 9849

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, 9849 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9842 and 9849 is 7.

GCF(9842,9849) = 7

GCF of 9842 and 9849

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

GCF of:
and

Greatest Common Factor of 9842 and 9849

GCF of 9842 and 9849 is 7

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 9849


3 9849
7 3283
7 469
67 67
1

Prime factors of 9849 are 3,7,67. Prime factorization of 9849 in exponential form is:

9849 = 31×72×671

∴ So by taking common prime factors GCF of 9842 and 9849 is 7

Greatest Common Factor of 9842 and 9849 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 9849

List of positive integer factors of 9849 that divides 9849 without a remainder.

1,3,7,21,49,67,147,201,469,1407,3283,9849

Greatest Common Factor

We found the factors and prime factorization of 9842 and 9849. The biggest common factor number is the GCF number.
So the greatest common factor 9842 and 9849 is 7.

Also check out the Least Common Multiple of 9842 and 9849

Properties of GCF 9842 and 9849

(i) The GCF of 9842 and 9849 is associative

GCF of 9842 and 9849 = GCF of 9849 and 9842

Related Greatest Common Factor of 9842

Related Greatest Common Factor of 9849

Frequently Asked Questions on GCF of 9842 and 9849

1. What is the GCF of 9842 and 9849?

Answer: GCF of 9842 and 9849 is 7.

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 9849?

Answer: Factors of 9849 are 1, 3, 7, 21, 49, 67, 147, 201, 469, 1407, 3283, 9849. There are 12 integers that are factors of 9849. The greatest factor of 9849 is 9849.

4. How to Find the GCF of 9842 and 9849?

Answer:

Greatest Common Factor of 9842 and 9849 = 7

Step 1: Find the prime factorization of 9842

9842 = 2 x 7 x 19 x 37

Step 2: Find the prime factorization of 9849

9849 = 3 x 7 x 7 x 67

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

GCF = 7

Step 4: Therefore, the greatest common factor of 9842 and 9849 is 7