Greatest Common Factor of 882 and 889

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, 889 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 882 and 889 is 7.

GCF(882,889) = 7

GCF of 882 and 889

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

GCF of:
and

Greatest Common Factor of 882 and 889

GCF of 882 and 889 is 7

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 889


7 889
127 127
1

Prime factors of 889 are 7,127. Prime factorization of 889 in exponential form is:

889 = 71×1271

∴ So by taking common prime factors GCF of 882 and 889 is 7

Greatest Common Factor of 882 and 889 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 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Greatest Common Factor

We found the factors and prime factorization of 882 and 889. The biggest common factor number is the GCF number.
So the greatest common factor 882 and 889 is 7.

Also check out the Least Common Multiple of 882 and 889

Properties of GCF 882 and 889

(i) The GCF of 882 and 889 is associative

GCF of 882 and 889 = GCF of 889 and 882

Related Greatest Common Factor of 882

Related Greatest Common Factor of 889

Frequently Asked Questions on GCF of 882 and 889

1. What is the GCF of 882 and 889?

Answer: GCF of 882 and 889 is 7.

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 889?

Answer: Factors of 889 are 1, 7, 127, 889. There are 4 integers that are factors of 889. The greatest factor of 889 is 889.

4. How to Find the GCF of 882 and 889?

Answer:

Greatest Common Factor of 882 and 889 = 7

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 889

889 = 7 x 127

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

GCF = 7

Step 4: Therefore, the greatest common factor of 882 and 889 is 7