Greatest Common Factor of 9688 and 9695

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, 9695 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9688 and 9695 is 7.

GCF(9688,9695) = 7

GCF of 9688 and 9695

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

GCF of:
and

Greatest Common Factor of 9688 and 9695

GCF of 9688 and 9695 is 7

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 9695


5 9695
7 1939
277 277
1

Prime factors of 9695 are 5,7,277. Prime factorization of 9695 in exponential form is:

9695 = 51×71×2771

∴ So by taking common prime factors GCF of 9688 and 9695 is 7

Greatest Common Factor of 9688 and 9695 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 9695

List of positive integer factors of 9695 that divides 9695 without a remainder.

1,5,7,35,277,1385,1939,9695

Greatest Common Factor

We found the factors and prime factorization of 9688 and 9695. The biggest common factor number is the GCF number.
So the greatest common factor 9688 and 9695 is 7.

Also check out the Least Common Multiple of 9688 and 9695

Properties of GCF 9688 and 9695

(i) The GCF of 9688 and 9695 is associative

GCF of 9688 and 9695 = GCF of 9695 and 9688

Related Greatest Common Factor of 9688

Related Greatest Common Factor of 9695

Frequently Asked Questions on GCF of 9688 and 9695

1. What is the GCF of 9688 and 9695?

Answer: GCF of 9688 and 9695 is 7.

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 9695?

Answer: Factors of 9695 are 1, 5, 7, 35, 277, 1385, 1939, 9695. There are 8 integers that are factors of 9695. The greatest factor of 9695 is 9695.

4. How to Find the GCF of 9688 and 9695?

Answer:

Greatest Common Factor of 9688 and 9695 = 7

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 9695

9695 = 5 x 7 x 277

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

GCF = 7

Step 4: Therefore, the greatest common factor of 9688 and 9695 is 7