Greatest Common Factor of 876 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 876, 882 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 876 and 882 is 6.

GCF(876,882) = 6

GCF of 876 and 882

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

GCF of:
and

Greatest Common Factor of 876 and 882

GCF of 876 and 882 is 6

Prime Factorization of 876


2 876
2 438
3 219
73 73
1

Prime factors of 876 are 2,3,73. Prime factorization of 876 in exponential form is:

876 = 22×31×731

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 876 and 882 is 6

Greatest Common Factor of 876 and 882 by matching factors method

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

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 876 and 882. The biggest common factor number is the GCF number.
So the greatest common factor 876 and 882 is 6.

Also check out the Least Common Multiple of 876 and 882

Properties of GCF 876 and 882

(i) The GCF of 876 and 882 is associative

GCF of 876 and 882 = GCF of 882 and 876

Related Greatest Common Factor of 876

Related Greatest Common Factor of 882

Frequently Asked Questions on GCF of 876 and 882

1. What is the GCF of 876 and 882?

Answer: GCF of 876 and 882 is 6.

2. What are the Factors of 876?

Answer: Factors of 876 are 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876. There are 12 integers that are factors of 876. The greatest factor of 876 is 876.

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 876 and 882?

Answer:

Greatest Common Factor of 876 and 882 = 6

Step 1: Find the prime factorization of 876

876 = 2 x 2 x 3 x 73

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 = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 876 and 882 is 6