Greatest Common Factor of 880 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 880, 882 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 880 and 882 is 2.

GCF(880,882) = 2

GCF of 880 and 882

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

GCF of:
and

Greatest Common Factor of 880 and 882

GCF of 880 and 882 is 2

Prime Factorization of 880


2 880
2 440
2 220
2 110
5 55
11 11
1

Prime factors of 880 are 2,5,11. Prime factorization of 880 in exponential form is:

880 = 24×51×111

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 880 and 882 is 2

Greatest Common Factor of 880 and 882 by matching factors method

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

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 880 and 882. The biggest common factor number is the GCF number.
So the greatest common factor 880 and 882 is 2.

Also check out the Least Common Multiple of 880 and 882

Properties of GCF 880 and 882

(i) The GCF of 880 and 882 is associative

GCF of 880 and 882 = GCF of 882 and 880

Related Greatest Common Factor of 880

Related Greatest Common Factor of 882

Frequently Asked Questions on GCF of 880 and 882

1. What is the GCF of 880 and 882?

Answer: GCF of 880 and 882 is 2.

2. What are the Factors of 880?

Answer: Factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880. There are 20 integers that are factors of 880. The greatest factor of 880 is 880.

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 880 and 882?

Answer:

Greatest Common Factor of 880 and 882 = 2

Step 1: Find the prime factorization of 880

880 = 2 x 2 x 2 x 2 x 5 x 11

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

Step 4: Therefore, the greatest common factor of 880 and 882 is 2