Greatest Common Factor of 9873 and 9879

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 9873, 9879 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9873 and 9879 is 3.

GCF(9873,9879) = 3

GCF of 9873 and 9879

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

GCF of:
and

Greatest Common Factor of 9873 and 9879

GCF of 9873 and 9879 is 3

Prime Factorization of 9873


3 9873
3 3291
1097 1097
1

Prime factors of 9873 are 3,1097. Prime factorization of 9873 in exponential form is:

9873 = 32×10971

Prime Factorization of 9879


3 9879
37 3293
89 89
1

Prime factors of 9879 are 3,37,89. Prime factorization of 9879 in exponential form is:

9879 = 31×371×891

∴ So by taking common prime factors GCF of 9873 and 9879 is 3

Greatest Common Factor of 9873 and 9879 by matching factors method

Factors of 9873

List of positive integer factors of 9873 that divides 9873 without a remainder.

1,3,9,1097,3291,9873

Factors of 9879

List of positive integer factors of 9879 that divides 9879 without a remainder.

1,3,37,89,111,267,3293,9879

Greatest Common Factor

We found the factors and prime factorization of 9873 and 9879. The biggest common factor number is the GCF number.
So the greatest common factor 9873 and 9879 is 3.

Also check out the Least Common Multiple of 9873 and 9879

Properties of GCF 9873 and 9879

(i) The GCF of 9873 and 9879 is associative

GCF of 9873 and 9879 = GCF of 9879 and 9873

Related Greatest Common Factor of 9873

Related Greatest Common Factor of 9879

Frequently Asked Questions on GCF of 9873 and 9879

1. What is the GCF of 9873 and 9879?

Answer: GCF of 9873 and 9879 is 3.

2. What are the Factors of 9873?

Answer: Factors of 9873 are 1, 3, 9, 1097, 3291, 9873. There are 6 integers that are factors of 9873. The greatest factor of 9873 is 9873.

3. What are the Factors of 9879?

Answer: Factors of 9879 are 1, 3, 37, 89, 111, 267, 3293, 9879. There are 8 integers that are factors of 9879. The greatest factor of 9879 is 9879.

4. How to Find the GCF of 9873 and 9879?

Answer:

Greatest Common Factor of 9873 and 9879 = 3

Step 1: Find the prime factorization of 9873

9873 = 3 x 3 x 1097

Step 2: Find the prime factorization of 9879

9879 = 3 x 37 x 89

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

GCF = 3

Step 4: Therefore, the greatest common factor of 9873 and 9879 is 3