Greatest Common Factor of 9860 and 9866

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 9860, 9866 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9860 and 9866 is 2.

GCF(9860,9866) = 2

GCF of 9860 and 9866

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

GCF of:
and

Greatest Common Factor of 9860 and 9866

GCF of 9860 and 9866 is 2

Prime Factorization of 9860


2 9860
2 4930
5 2465
17 493
29 29
1

Prime factors of 9860 are 2,5,17,29. Prime factorization of 9860 in exponential form is:

9860 = 22×51×171×291

Prime Factorization of 9866


2 9866
4933 4933
1

Prime factors of 9866 are 2,4933. Prime factorization of 9866 in exponential form is:

9866 = 21×49331

∴ So by taking common prime factors GCF of 9860 and 9866 is 2

Greatest Common Factor of 9860 and 9866 by matching factors method

Factors of 9860

List of positive integer factors of 9860 that divides 9860 without a remainder.

1,2,4,5,10,17,20,29,34,58,68,85,116,145,170,290,340,493,580,986,1972,2465,4930,9860

Factors of 9866

List of positive integer factors of 9866 that divides 9866 without a remainder.

1,2,4933,9866

Greatest Common Factor

We found the factors and prime factorization of 9860 and 9866. The biggest common factor number is the GCF number.
So the greatest common factor 9860 and 9866 is 2.

Also check out the Least Common Multiple of 9860 and 9866

Properties of GCF 9860 and 9866

(i) The GCF of 9860 and 9866 is associative

GCF of 9860 and 9866 = GCF of 9866 and 9860

Related Greatest Common Factor of 9860

Related Greatest Common Factor of 9866

Frequently Asked Questions on GCF of 9860 and 9866

1. What is the GCF of 9860 and 9866?

Answer: GCF of 9860 and 9866 is 2.

2. What are the Factors of 9860?

Answer: Factors of 9860 are 1, 2, 4, 5, 10, 17, 20, 29, 34, 58, 68, 85, 116, 145, 170, 290, 340, 493, 580, 986, 1972, 2465, 4930, 9860. There are 24 integers that are factors of 9860. The greatest factor of 9860 is 9860.

3. What are the Factors of 9866?

Answer: Factors of 9866 are 1, 2, 4933, 9866. There are 4 integers that are factors of 9866. The greatest factor of 9866 is 9866.

4. How to Find the GCF of 9860 and 9866?

Answer:

Greatest Common Factor of 9860 and 9866 = 2

Step 1: Find the prime factorization of 9860

9860 = 2 x 2 x 5 x 17 x 29

Step 2: Find the prime factorization of 9866

9866 = 2 x 4933

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 9860 and 9866 is 2