Greatest Common Factor of 9696 and 9700

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 9696, 9700 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9696 and 9700 is 4.

GCF(9696,9700) = 4

GCF of 9696 and 9700

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

GCF of:
and

Greatest Common Factor of 9696 and 9700

GCF of 9696 and 9700 is 4

Prime Factorization of 9696


2 9696
2 4848
2 2424
2 1212
2 606
3 303
101 101
1

Prime factors of 9696 are 2,3,101. Prime factorization of 9696 in exponential form is:

9696 = 25×31×1011

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

∴ So by taking common prime factors GCF of 9696 and 9700 is 4

Greatest Common Factor of 9696 and 9700 by matching factors method

Factors of 9696

List of positive integer factors of 9696 that divides 9696 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96,101,202,303,404,606,808,1212,1616,2424,3232,4848,9696

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

Greatest Common Factor

We found the factors and prime factorization of 9696 and 9700. The biggest common factor number is the GCF number.
So the greatest common factor 9696 and 9700 is 4.

Also check out the Least Common Multiple of 9696 and 9700

Properties of GCF 9696 and 9700

(i) The GCF of 9696 and 9700 is associative

GCF of 9696 and 9700 = GCF of 9700 and 9696

Related Greatest Common Factor of 9696

Related Greatest Common Factor of 9700

Frequently Asked Questions on GCF of 9696 and 9700

1. What is the GCF of 9696 and 9700?

Answer: GCF of 9696 and 9700 is 4.

2. What are the Factors of 9696?

Answer: Factors of 9696 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 101, 202, 303, 404, 606, 808, 1212, 1616, 2424, 3232, 4848, 9696. There are 24 integers that are factors of 9696. The greatest factor of 9696 is 9696.

3. 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.

4. How to Find the GCF of 9696 and 9700?

Answer:

Greatest Common Factor of 9696 and 9700 = 4

Step 1: Find the prime factorization of 9696

9696 = 2 x 2 x 2 x 2 x 2 x 3 x 101

Step 2: Find the prime factorization of 9700

9700 = 2 x 2 x 5 x 5 x 97

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 9696 and 9700 is 4