Greatest Common Factor of 9853 and 9858

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 9853, 9858 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9853 and 9858 is 1.

GCF(9853,9858) = 1

GCF of 9853 and 9858

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

GCF of:
and

Greatest Common Factor of 9853 and 9858

GCF of 9853 and 9858 is 1

Prime Factorization of 9853


59 9853
167 167
1

Prime factors of 9853 are 59,167. Prime factorization of 9853 in exponential form is:

9853 = 591×1671

Prime Factorization of 9858


2 9858
3 4929
31 1643
53 53
1

Prime factors of 9858 are 2,3,31,53. Prime factorization of 9858 in exponential form is:

9858 = 21×31×311×531

∴ So by taking common prime factors GCF of 9853 and 9858 is 1

Greatest Common Factor of 9853 and 9858 by matching factors method

Factors of 9853

List of positive integer factors of 9853 that divides 9853 without a remainder.

1,59,167,9853

Factors of 9858

List of positive integer factors of 9858 that divides 9858 without a remainder.

1,2,3,6,31,53,62,93,106,159,186,318,1643,3286,4929,9858

Greatest Common Factor

We found the factors and prime factorization of 9853 and 9858. The biggest common factor number is the GCF number.
So the greatest common factor 9853 and 9858 is 1.

Also check out the Least Common Multiple of 9853 and 9858

Properties of GCF 9853 and 9858

(i) The GCF of 9853 and 9858 is associative

GCF of 9853 and 9858 = GCF of 9858 and 9853

Related Greatest Common Factor of 9853

Related Greatest Common Factor of 9858

Frequently Asked Questions on GCF of 9853 and 9858

1. What is the GCF of 9853 and 9858?

Answer: GCF of 9853 and 9858 is 1.

2. What are the Factors of 9853?

Answer: Factors of 9853 are 1, 59, 167, 9853. There are 4 integers that are factors of 9853. The greatest factor of 9853 is 9853.

3. What are the Factors of 9858?

Answer: Factors of 9858 are 1, 2, 3, 6, 31, 53, 62, 93, 106, 159, 186, 318, 1643, 3286, 4929, 9858. There are 16 integers that are factors of 9858. The greatest factor of 9858 is 9858.

4. How to Find the GCF of 9853 and 9858?

Answer:

Greatest Common Factor of 9853 and 9858 = 1

Step 1: Find the prime factorization of 9853

9853 = 59 x 167

Step 2: Find the prime factorization of 9858

9858 = 2 x 3 x 31 x 53

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 9853 and 9858 is 1