Greatest Common Factor of 9882 and 9890

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 9882, 9890 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9882 and 9890 is 2.

GCF(9882,9890) = 2

GCF of 9882 and 9890

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

GCF of:
and

Greatest Common Factor of 9882 and 9890

GCF of 9882 and 9890 is 2

Prime Factorization of 9882


2 9882
3 4941
3 1647
3 549
3 183
61 61
1

Prime factors of 9882 are 2,3,61. Prime factorization of 9882 in exponential form is:

9882 = 21×34×611

Prime Factorization of 9890


2 9890
5 4945
23 989
43 43
1

Prime factors of 9890 are 2,5,23,43. Prime factorization of 9890 in exponential form is:

9890 = 21×51×231×431

∴ So by taking common prime factors GCF of 9882 and 9890 is 2

Greatest Common Factor of 9882 and 9890 by matching factors method

Factors of 9882

List of positive integer factors of 9882 that divides 9882 without a remainder.

1,2,3,6,9,18,27,54,61,81,122,162,183,366,549,1098,1647,3294,4941,9882

Factors of 9890

List of positive integer factors of 9890 that divides 9890 without a remainder.

1,2,5,10,23,43,46,86,115,215,230,430,989,1978,4945,9890

Greatest Common Factor

We found the factors and prime factorization of 9882 and 9890. The biggest common factor number is the GCF number.
So the greatest common factor 9882 and 9890 is 2.

Also check out the Least Common Multiple of 9882 and 9890

Properties of GCF 9882 and 9890

(i) The GCF of 9882 and 9890 is associative

GCF of 9882 and 9890 = GCF of 9890 and 9882

Related Greatest Common Factor of 9882

Related Greatest Common Factor of 9890

Frequently Asked Questions on GCF of 9882 and 9890

1. What is the GCF of 9882 and 9890?

Answer: GCF of 9882 and 9890 is 2.

2. What are the Factors of 9882?

Answer: Factors of 9882 are 1, 2, 3, 6, 9, 18, 27, 54, 61, 81, 122, 162, 183, 366, 549, 1098, 1647, 3294, 4941, 9882. There are 20 integers that are factors of 9882. The greatest factor of 9882 is 9882.

3. What are the Factors of 9890?

Answer: Factors of 9890 are 1, 2, 5, 10, 23, 43, 46, 86, 115, 215, 230, 430, 989, 1978, 4945, 9890. There are 16 integers that are factors of 9890. The greatest factor of 9890 is 9890.

4. How to Find the GCF of 9882 and 9890?

Answer:

Greatest Common Factor of 9882 and 9890 = 2

Step 1: Find the prime factorization of 9882

9882 = 2 x 3 x 3 x 3 x 3 x 61

Step 2: Find the prime factorization of 9890

9890 = 2 x 5 x 23 x 43

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 9882 and 9890 is 2