Greatest Common Factor of 9879 and 9885

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 9879, 9885 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9879 and 9885 is 3.

GCF(9879,9885) = 3

GCF of 9879 and 9885

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

GCF of:
and

Greatest Common Factor of 9879 and 9885

GCF of 9879 and 9885 is 3

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

Prime Factorization of 9885


3 9885
5 3295
659 659
1

Prime factors of 9885 are 3,5,659. Prime factorization of 9885 in exponential form is:

9885 = 31×51×6591

∴ So by taking common prime factors GCF of 9879 and 9885 is 3

Greatest Common Factor of 9879 and 9885 by matching factors method

Factors of 9879

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

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

Factors of 9885

List of positive integer factors of 9885 that divides 9885 without a remainder.

1,3,5,15,659,1977,3295,9885

Greatest Common Factor

We found the factors and prime factorization of 9879 and 9885. The biggest common factor number is the GCF number.
So the greatest common factor 9879 and 9885 is 3.

Also check out the Least Common Multiple of 9879 and 9885

Properties of GCF 9879 and 9885

(i) The GCF of 9879 and 9885 is associative

GCF of 9879 and 9885 = GCF of 9885 and 9879

Related Greatest Common Factor of 9879

Related Greatest Common Factor of 9885

Frequently Asked Questions on GCF of 9879 and 9885

1. What is the GCF of 9879 and 9885?

Answer: GCF of 9879 and 9885 is 3.

2. 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.

3. What are the Factors of 9885?

Answer: Factors of 9885 are 1, 3, 5, 15, 659, 1977, 3295, 9885. There are 8 integers that are factors of 9885. The greatest factor of 9885 is 9885.

4. How to Find the GCF of 9879 and 9885?

Answer:

Greatest Common Factor of 9879 and 9885 = 3

Step 1: Find the prime factorization of 9879

9879 = 3 x 37 x 89

Step 2: Find the prime factorization of 9885

9885 = 3 x 5 x 659

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 9879 and 9885 is 3