Greatest Common Factor of 9890 and 9894

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 9890, 9894 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9890 and 9894 is 2.

GCF(9890,9894) = 2

GCF of 9890 and 9894

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

GCF of:
and

Greatest Common Factor of 9890 and 9894

GCF of 9890 and 9894 is 2

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

Prime Factorization of 9894


2 9894
3 4947
17 1649
97 97
1

Prime factors of 9894 are 2,3,17,97. Prime factorization of 9894 in exponential form is:

9894 = 21×31×171×971

∴ So by taking common prime factors GCF of 9890 and 9894 is 2

Greatest Common Factor of 9890 and 9894 by matching factors method

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

Factors of 9894

List of positive integer factors of 9894 that divides 9894 without a remainder.

1,2,3,6,17,34,51,97,102,194,291,582,1649,3298,4947,9894

Greatest Common Factor

We found the factors and prime factorization of 9890 and 9894. The biggest common factor number is the GCF number.
So the greatest common factor 9890 and 9894 is 2.

Also check out the Least Common Multiple of 9890 and 9894

Properties of GCF 9890 and 9894

(i) The GCF of 9890 and 9894 is associative

GCF of 9890 and 9894 = GCF of 9894 and 9890

Related Greatest Common Factor of 9890

Related Greatest Common Factor of 9894

Frequently Asked Questions on GCF of 9890 and 9894

1. What is the GCF of 9890 and 9894?

Answer: GCF of 9890 and 9894 is 2.

2. 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.

3. What are the Factors of 9894?

Answer: Factors of 9894 are 1, 2, 3, 6, 17, 34, 51, 97, 102, 194, 291, 582, 1649, 3298, 4947, 9894. There are 16 integers that are factors of 9894. The greatest factor of 9894 is 9894.

4. How to Find the GCF of 9890 and 9894?

Answer:

Greatest Common Factor of 9890 and 9894 = 2

Step 1: Find the prime factorization of 9890

9890 = 2 x 5 x 23 x 43

Step 2: Find the prime factorization of 9894

9894 = 2 x 3 x 17 x 97

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 9890 and 9894 is 2