Greatest Common Factor of 879 and 885

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 879, 885 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 879 and 885 is 3.

GCF(879,885) = 3

GCF of 879 and 885

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

GCF of:
and

Greatest Common Factor of 879 and 885

GCF of 879 and 885 is 3

Prime Factorization of 879


3 879
293 293
1

Prime factors of 879 are 3,293. Prime factorization of 879 in exponential form is:

879 = 31×2931

Prime Factorization of 885


3 885
5 295
59 59
1

Prime factors of 885 are 3,5,59. Prime factorization of 885 in exponential form is:

885 = 31×51×591

∴ So by taking common prime factors GCF of 879 and 885 is 3

Greatest Common Factor of 879 and 885 by matching factors method

Factors of 879

List of positive integer factors of 879 that divides 879 without a remainder.

1,3,293,879

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1,3,5,15,59,177,295,885

Greatest Common Factor

We found the factors and prime factorization of 879 and 885. The biggest common factor number is the GCF number.
So the greatest common factor 879 and 885 is 3.

Also check out the Least Common Multiple of 879 and 885

Properties of GCF 879 and 885

(i) The GCF of 879 and 885 is associative

GCF of 879 and 885 = GCF of 885 and 879

Related Greatest Common Factor of 879

Related Greatest Common Factor of 885

Frequently Asked Questions on GCF of 879 and 885

1. What is the GCF of 879 and 885?

Answer: GCF of 879 and 885 is 3.

2. What are the Factors of 879?

Answer: Factors of 879 are 1, 3, 293, 879. There are 4 integers that are factors of 879. The greatest factor of 879 is 879.

3. What are the Factors of 885?

Answer: Factors of 885 are 1, 3, 5, 15, 59, 177, 295, 885. There are 8 integers that are factors of 885. The greatest factor of 885 is 885.

4. How to Find the GCF of 879 and 885?

Answer:

Greatest Common Factor of 879 and 885 = 3

Step 1: Find the prime factorization of 879

879 = 3 x 293

Step 2: Find the prime factorization of 885

885 = 3 x 5 x 59

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 879 and 885 is 3