Greatest Common Factor of 9884 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 9884, 9890 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9884 and 9890 is 2.

GCF(9884,9890) = 2

GCF of 9884 and 9890

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

GCF of:
and

Greatest Common Factor of 9884 and 9890

GCF of 9884 and 9890 is 2

Prime Factorization of 9884


2 9884
2 4942
7 2471
353 353
1

Prime factors of 9884 are 2,7,353. Prime factorization of 9884 in exponential form is:

9884 = 22×71×3531

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 9884 and 9890 is 2

Greatest Common Factor of 9884 and 9890 by matching factors method

Factors of 9884

List of positive integer factors of 9884 that divides 9884 without a remainder.

1,2,4,7,14,28,353,706,1412,2471,4942,9884

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 9884 and 9890. The biggest common factor number is the GCF number.
So the greatest common factor 9884 and 9890 is 2.

Also check out the Least Common Multiple of 9884 and 9890

Properties of GCF 9884 and 9890

(i) The GCF of 9884 and 9890 is associative

GCF of 9884 and 9890 = GCF of 9890 and 9884

Related Greatest Common Factor of 9884

Related Greatest Common Factor of 9890

Frequently Asked Questions on GCF of 9884 and 9890

1. What is the GCF of 9884 and 9890?

Answer: GCF of 9884 and 9890 is 2.

2. What are the Factors of 9884?

Answer: Factors of 9884 are 1, 2, 4, 7, 14, 28, 353, 706, 1412, 2471, 4942, 9884. There are 12 integers that are factors of 9884. The greatest factor of 9884 is 9884.

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 9884 and 9890?

Answer:

Greatest Common Factor of 9884 and 9890 = 2

Step 1: Find the prime factorization of 9884

9884 = 2 x 2 x 7 x 353

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 9884 and 9890 is 2