Greatest Common Factor of 882 and 886

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 882, 886 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 882 and 886 is 2.

GCF(882,886) = 2

GCF of 882 and 886

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

GCF of:
and

Greatest Common Factor of 882 and 886

GCF of 882 and 886 is 2

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

Prime Factorization of 886


2 886
443 443
1

Prime factors of 886 are 2,443. Prime factorization of 886 in exponential form is:

886 = 21×4431

∴ So by taking common prime factors GCF of 882 and 886 is 2

Greatest Common Factor of 882 and 886 by matching factors method

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

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Greatest Common Factor

We found the factors and prime factorization of 882 and 886. The biggest common factor number is the GCF number.
So the greatest common factor 882 and 886 is 2.

Also check out the Least Common Multiple of 882 and 886

Properties of GCF 882 and 886

(i) The GCF of 882 and 886 is associative

GCF of 882 and 886 = GCF of 886 and 882

Related Greatest Common Factor of 882

Related Greatest Common Factor of 886

Frequently Asked Questions on GCF of 882 and 886

1. What is the GCF of 882 and 886?

Answer: GCF of 882 and 886 is 2.

2. 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.

3. What are the Factors of 886?

Answer: Factors of 886 are 1, 2, 443, 886. There are 4 integers that are factors of 886. The greatest factor of 886 is 886.

4. How to Find the GCF of 882 and 886?

Answer:

Greatest Common Factor of 882 and 886 = 2

Step 1: Find the prime factorization of 882

882 = 2 x 3 x 3 x 7 x 7

Step 2: Find the prime factorization of 886

886 = 2 x 443

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

GCF = 2

Step 4: Therefore, the greatest common factor of 882 and 886 is 2