Greatest Common Factor of 882 and 890

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

Greatest common factor (GCF) of 882 and 890 is 2.

GCF(882,890) = 2

GCF of 882 and 890

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

GCF of:
and

Greatest Common Factor of 882 and 890

GCF of 882 and 890 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 890


2 890
5 445
89 89
1

Prime factors of 890 are 2,5,89. Prime factorization of 890 in exponential form is:

890 = 21×51×891

∴ So by taking common prime factors GCF of 882 and 890 is 2

Greatest Common Factor of 882 and 890 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 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Greatest Common Factor

We found the factors and prime factorization of 882 and 890. The biggest common factor number is the GCF number.
So the greatest common factor 882 and 890 is 2.

Also check out the Least Common Multiple of 882 and 890

Properties of GCF 882 and 890

(i) The GCF of 882 and 890 is associative

GCF of 882 and 890 = GCF of 890 and 882

Related Greatest Common Factor of 882

Related Greatest Common Factor of 890

Frequently Asked Questions on GCF of 882 and 890

1. What is the GCF of 882 and 890?

Answer: GCF of 882 and 890 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 890?

Answer: Factors of 890 are 1, 2, 5, 10, 89, 178, 445, 890. There are 8 integers that are factors of 890. The greatest factor of 890 is 890.

4. How to Find the GCF of 882 and 890?

Answer:

Greatest Common Factor of 882 and 890 = 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 890

890 = 2 x 5 x 89

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 890 is 2