Greatest Common Factor of 9866 and 9867

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 9866, 9867 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9866 and 9867 is 1.

GCF(9866,9867) = 1

GCF of 9866 and 9867

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

GCF of:
and

Greatest Common Factor of 9866 and 9867

GCF of 9866 and 9867 is 1

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

Prime Factorization of 9867


3 9867
11 3289
13 299
23 23
1

Prime factors of 9867 are 3,11,13,23. Prime factorization of 9867 in exponential form is:

9867 = 31×111×131×231

∴ So by taking common prime factors GCF of 9866 and 9867 is 1

Greatest Common Factor of 9866 and 9867 by matching factors method

Factors of 9866

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

1,2,4933,9866

Factors of 9867

List of positive integer factors of 9867 that divides 9867 without a remainder.

1,3,11,13,23,33,39,69,143,253,299,429,759,897,3289,9867

Greatest Common Factor

We found the factors and prime factorization of 9866 and 9867. The biggest common factor number is the GCF number.
So the greatest common factor 9866 and 9867 is 1.

Also check out the Least Common Multiple of 9866 and 9867

Properties of GCF 9866 and 9867

(i) The GCF of 9866 and 9867 is associative

GCF of 9866 and 9867 = GCF of 9867 and 9866

Related Greatest Common Factor of 9866

Related Greatest Common Factor of 9867

Frequently Asked Questions on GCF of 9866 and 9867

1. What is the GCF of 9866 and 9867?

Answer: GCF of 9866 and 9867 is 1.

2. 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.

3. What are the Factors of 9867?

Answer: Factors of 9867 are 1, 3, 11, 13, 23, 33, 39, 69, 143, 253, 299, 429, 759, 897, 3289, 9867. There are 16 integers that are factors of 9867. The greatest factor of 9867 is 9867.

4. How to Find the GCF of 9866 and 9867?

Answer:

Greatest Common Factor of 9866 and 9867 = 1

Step 1: Find the prime factorization of 9866

9866 = 2 x 4933

Step 2: Find the prime factorization of 9867

9867 = 3 x 11 x 13 x 23

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 9866 and 9867 is 1