Greatest Common Factor of 9688 and 9696

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 9688, 9696 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9688 and 9696 is 8.

GCF(9688,9696) = 8

GCF of 9688 and 9696

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

GCF of:
and

Greatest Common Factor of 9688 and 9696

GCF of 9688 and 9696 is 8

Prime Factorization of 9688


2 9688
2 4844
2 2422
7 1211
173 173
1

Prime factors of 9688 are 2,7,173. Prime factorization of 9688 in exponential form is:

9688 = 23×71×1731

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

∴ So by taking common prime factors GCF of 9688 and 9696 is 8

Greatest Common Factor of 9688 and 9696 by matching factors method

Factors of 9688

List of positive integer factors of 9688 that divides 9688 without a remainder.

1,2,4,7,8,14,28,56,173,346,692,1211,1384,2422,4844,9688

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

Greatest Common Factor

We found the factors and prime factorization of 9688 and 9696. The biggest common factor number is the GCF number.
So the greatest common factor 9688 and 9696 is 8.

Also check out the Least Common Multiple of 9688 and 9696

Properties of GCF 9688 and 9696

(i) The GCF of 9688 and 9696 is associative

GCF of 9688 and 9696 = GCF of 9696 and 9688

Related Greatest Common Factor of 9688

Related Greatest Common Factor of 9696

Frequently Asked Questions on GCF of 9688 and 9696

1. What is the GCF of 9688 and 9696?

Answer: GCF of 9688 and 9696 is 8.

2. What are the Factors of 9688?

Answer: Factors of 9688 are 1, 2, 4, 7, 8, 14, 28, 56, 173, 346, 692, 1211, 1384, 2422, 4844, 9688. There are 16 integers that are factors of 9688. The greatest factor of 9688 is 9688.

3. 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.

4. How to Find the GCF of 9688 and 9696?

Answer:

Greatest Common Factor of 9688 and 9696 = 8

Step 1: Find the prime factorization of 9688

9688 = 2 x 2 x 2 x 7 x 173

Step 2: Find the prime factorization of 9696

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

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 9688 and 9696 is 8