Greatest Common Factor of 9894 and 9897

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 9894, 9897 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9894 and 9897 is 3.

GCF(9894,9897) = 3

GCF of 9894 and 9897

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

GCF of:
and

Greatest Common Factor of 9894 and 9897

GCF of 9894 and 9897 is 3

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

Prime Factorization of 9897


3 9897
3299 3299
1

Prime factors of 9897 are 3,3299. Prime factorization of 9897 in exponential form is:

9897 = 31×32991

∴ So by taking common prime factors GCF of 9894 and 9897 is 3

Greatest Common Factor of 9894 and 9897 by matching factors method

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

Factors of 9897

List of positive integer factors of 9897 that divides 9897 without a remainder.

1,3,3299,9897

Greatest Common Factor

We found the factors and prime factorization of 9894 and 9897. The biggest common factor number is the GCF number.
So the greatest common factor 9894 and 9897 is 3.

Also check out the Least Common Multiple of 9894 and 9897

Properties of GCF 9894 and 9897

(i) The GCF of 9894 and 9897 is associative

GCF of 9894 and 9897 = GCF of 9897 and 9894

Related Greatest Common Factor of 9894

Related Greatest Common Factor of 9897

Frequently Asked Questions on GCF of 9894 and 9897

1. What is the GCF of 9894 and 9897?

Answer: GCF of 9894 and 9897 is 3.

2. 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.

3. What are the Factors of 9897?

Answer: Factors of 9897 are 1, 3, 3299, 9897. There are 4 integers that are factors of 9897. The greatest factor of 9897 is 9897.

4. How to Find the GCF of 9894 and 9897?

Answer:

Greatest Common Factor of 9894 and 9897 = 3

Step 1: Find the prime factorization of 9894

9894 = 2 x 3 x 17 x 97

Step 2: Find the prime factorization of 9897

9897 = 3 x 3299

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

GCF = 3

Step 4: Therefore, the greatest common factor of 9894 and 9897 is 3