Greatest Common Factor of 879 and 882

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

Greatest common factor (GCF) of 879 and 882 is 3.

GCF(879,882) = 3

GCF of 879 and 882

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

GCF of:
and

Greatest Common Factor of 879 and 882

GCF of 879 and 882 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 882


2 882
3 441
3 147
7 49
7 7
1

Prime factors of 882 are 2,3,7. Prime factorization of 882 in exponential form is:

882 = 21×32×72

∴ So by taking common prime factors GCF of 879 and 882 is 3

Greatest Common Factor of 879 and 882 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 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Greatest Common Factor

We found the factors and prime factorization of 879 and 882. The biggest common factor number is the GCF number.
So the greatest common factor 879 and 882 is 3.

Also check out the Least Common Multiple of 879 and 882

Properties of GCF 879 and 882

(i) The GCF of 879 and 882 is associative

GCF of 879 and 882 = GCF of 882 and 879

Related Greatest Common Factor of 879

Related Greatest Common Factor of 882

Frequently Asked Questions on GCF of 879 and 882

1. What is the GCF of 879 and 882?

Answer: GCF of 879 and 882 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 882?

Answer: Factors of 882 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882. There are 18 integers that are factors of 882. The greatest factor of 882 is 882.

4. How to Find the GCF of 879 and 882?

Answer:

Greatest Common Factor of 879 and 882 = 3

Step 1: Find the prime factorization of 879

879 = 3 x 293

Step 2: Find the prime factorization of 882

882 = 2 x 3 x 3 x 7 x 7

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 882 is 3