Greatest Common Factor of 9686 and 9688

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 9686, 9688 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9686 and 9688 is 2.

GCF(9686,9688) = 2

GCF of 9686 and 9688

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

GCF of:
and

Greatest Common Factor of 9686 and 9688

GCF of 9686 and 9688 is 2

Prime Factorization of 9686


2 9686
29 4843
167 167
1

Prime factors of 9686 are 2,29,167. Prime factorization of 9686 in exponential form is:

9686 = 21×291×1671

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

∴ So by taking common prime factors GCF of 9686 and 9688 is 2

Greatest Common Factor of 9686 and 9688 by matching factors method

Factors of 9686

List of positive integer factors of 9686 that divides 9686 without a remainder.

1,2,29,58,167,334,4843,9686

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

Greatest Common Factor

We found the factors and prime factorization of 9686 and 9688. The biggest common factor number is the GCF number.
So the greatest common factor 9686 and 9688 is 2.

Also check out the Least Common Multiple of 9686 and 9688

Properties of GCF 9686 and 9688

(i) The GCF of 9686 and 9688 is associative

GCF of 9686 and 9688 = GCF of 9688 and 9686

Related Greatest Common Factor of 9686

Related Greatest Common Factor of 9688

Frequently Asked Questions on GCF of 9686 and 9688

1. What is the GCF of 9686 and 9688?

Answer: GCF of 9686 and 9688 is 2.

2. What are the Factors of 9686?

Answer: Factors of 9686 are 1, 2, 29, 58, 167, 334, 4843, 9686. There are 8 integers that are factors of 9686. The greatest factor of 9686 is 9686.

3. 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.

4. How to Find the GCF of 9686 and 9688?

Answer:

Greatest Common Factor of 9686 and 9688 = 2

Step 1: Find the prime factorization of 9686

9686 = 2 x 29 x 167

Step 2: Find the prime factorization of 9688

9688 = 2 x 2 x 2 x 7 x 173

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 9686 and 9688 is 2