Greatest Common Factor of 9700 and 9706

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 9700, 9706 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9700 and 9706 is 2.

GCF(9700,9706) = 2

GCF of 9700 and 9706

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

GCF of:
and

Greatest Common Factor of 9700 and 9706

GCF of 9700 and 9706 is 2

Prime Factorization of 9700


2 9700
2 4850
5 2425
5 485
97 97
1

Prime factors of 9700 are 2,5,97. Prime factorization of 9700 in exponential form is:

9700 = 22×52×971

Prime Factorization of 9706


2 9706
23 4853
211 211
1

Prime factors of 9706 are 2,23,211. Prime factorization of 9706 in exponential form is:

9706 = 21×231×2111

∴ So by taking common prime factors GCF of 9700 and 9706 is 2

Greatest Common Factor of 9700 and 9706 by matching factors method

Factors of 9700

List of positive integer factors of 9700 that divides 9700 without a remainder.

1,2,4,5,10,20,25,50,97,100,194,388,485,970,1940,2425,4850,9700

Factors of 9706

List of positive integer factors of 9706 that divides 9706 without a remainder.

1,2,23,46,211,422,4853,9706

Greatest Common Factor

We found the factors and prime factorization of 9700 and 9706. The biggest common factor number is the GCF number.
So the greatest common factor 9700 and 9706 is 2.

Also check out the Least Common Multiple of 9700 and 9706

Properties of GCF 9700 and 9706

(i) The GCF of 9700 and 9706 is associative

GCF of 9700 and 9706 = GCF of 9706 and 9700

Related Greatest Common Factor of 9700

Related Greatest Common Factor of 9706

Frequently Asked Questions on GCF of 9700 and 9706

1. What is the GCF of 9700 and 9706?

Answer: GCF of 9700 and 9706 is 2.

2. What are the Factors of 9700?

Answer: Factors of 9700 are 1, 2, 4, 5, 10, 20, 25, 50, 97, 100, 194, 388, 485, 970, 1940, 2425, 4850, 9700. There are 18 integers that are factors of 9700. The greatest factor of 9700 is 9700.

3. What are the Factors of 9706?

Answer: Factors of 9706 are 1, 2, 23, 46, 211, 422, 4853, 9706. There are 8 integers that are factors of 9706. The greatest factor of 9706 is 9706.

4. How to Find the GCF of 9700 and 9706?

Answer:

Greatest Common Factor of 9700 and 9706 = 2

Step 1: Find the prime factorization of 9700

9700 = 2 x 2 x 5 x 5 x 97

Step 2: Find the prime factorization of 9706

9706 = 2 x 23 x 211

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 9700 and 9706 is 2