Greatest Common Factor of 9867 and 9875

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 9867, 9875 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9867 and 9875 is 1.

GCF(9867,9875) = 1

GCF of 9867 and 9875

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

GCF of:
and

Greatest Common Factor of 9867 and 9875

GCF of 9867 and 9875 is 1

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

Prime Factorization of 9875


5 9875
5 1975
5 395
79 79
1

Prime factors of 9875 are 5,79. Prime factorization of 9875 in exponential form is:

9875 = 53×791

∴ So by taking common prime factors GCF of 9867 and 9875 is 1

Greatest Common Factor of 9867 and 9875 by matching factors method

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

Factors of 9875

List of positive integer factors of 9875 that divides 9875 without a remainder.

1,5,25,79,125,395,1975,9875

Greatest Common Factor

We found the factors and prime factorization of 9867 and 9875. The biggest common factor number is the GCF number.
So the greatest common factor 9867 and 9875 is 1.

Also check out the Least Common Multiple of 9867 and 9875

Properties of GCF 9867 and 9875

(i) The GCF of 9867 and 9875 is associative

GCF of 9867 and 9875 = GCF of 9875 and 9867

Related Greatest Common Factor of 9867

Related Greatest Common Factor of 9875

Frequently Asked Questions on GCF of 9867 and 9875

1. What is the GCF of 9867 and 9875?

Answer: GCF of 9867 and 9875 is 1.

2. 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.

3. What are the Factors of 9875?

Answer: Factors of 9875 are 1, 5, 25, 79, 125, 395, 1975, 9875. There are 8 integers that are factors of 9875. The greatest factor of 9875 is 9875.

4. How to Find the GCF of 9867 and 9875?

Answer:

Greatest Common Factor of 9867 and 9875 = 1

Step 1: Find the prime factorization of 9867

9867 = 3 x 11 x 13 x 23

Step 2: Find the prime factorization of 9875

9875 = 5 x 5 x 5 x 79

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 9867 and 9875 is 1