Greatest Common Factor of 9842 and 9850

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, 9850 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9842 and 9850 is 2.

GCF(9842,9850) = 2

GCF of 9842 and 9850

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

GCF of:
and

Greatest Common Factor of 9842 and 9850

GCF of 9842 and 9850 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 9850


2 9850
5 4925
5 985
197 197
1

Prime factors of 9850 are 2,5,197. Prime factorization of 9850 in exponential form is:

9850 = 21×52×1971

∴ So by taking common prime factors GCF of 9842 and 9850 is 2

Greatest Common Factor of 9842 and 9850 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 9850

List of positive integer factors of 9850 that divides 9850 without a remainder.

1,2,5,10,25,50,197,394,985,1970,4925,9850

Greatest Common Factor

We found the factors and prime factorization of 9842 and 9850. The biggest common factor number is the GCF number.
So the greatest common factor 9842 and 9850 is 2.

Also check out the Least Common Multiple of 9842 and 9850

Properties of GCF 9842 and 9850

(i) The GCF of 9842 and 9850 is associative

GCF of 9842 and 9850 = GCF of 9850 and 9842

Related Greatest Common Factor of 9842

Related Greatest Common Factor of 9850

Frequently Asked Questions on GCF of 9842 and 9850

1. What is the GCF of 9842 and 9850?

Answer: GCF of 9842 and 9850 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 9850?

Answer: Factors of 9850 are 1, 2, 5, 10, 25, 50, 197, 394, 985, 1970, 4925, 9850. There are 12 integers that are factors of 9850. The greatest factor of 9850 is 9850.

4. How to Find the GCF of 9842 and 9850?

Answer:

Greatest Common Factor of 9842 and 9850 = 2

Step 1: Find the prime factorization of 9842

9842 = 2 x 7 x 19 x 37

Step 2: Find the prime factorization of 9850

9850 = 2 x 5 x 5 x 197

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 9850 is 2