Greatest Common Factor of 9680 and 9686

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 9680, 9686 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9680 and 9686 is 2.

GCF(9680,9686) = 2

GCF of 9680 and 9686

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

GCF of:
and

Greatest Common Factor of 9680 and 9686

GCF of 9680 and 9686 is 2

Prime Factorization of 9680


2 9680
2 4840
2 2420
2 1210
5 605
11 121
11 11
1

Prime factors of 9680 are 2,5,11. Prime factorization of 9680 in exponential form is:

9680 = 24×51×112

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

∴ So by taking common prime factors GCF of 9680 and 9686 is 2

Greatest Common Factor of 9680 and 9686 by matching factors method

Factors of 9680

List of positive integer factors of 9680 that divides 9680 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,121,176,220,242,440,484,605,880,968,1210,1936,2420,4840,9680

Factors of 9686

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

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

Greatest Common Factor

We found the factors and prime factorization of 9680 and 9686. The biggest common factor number is the GCF number.
So the greatest common factor 9680 and 9686 is 2.

Also check out the Least Common Multiple of 9680 and 9686

Properties of GCF 9680 and 9686

(i) The GCF of 9680 and 9686 is associative

GCF of 9680 and 9686 = GCF of 9686 and 9680

Related Greatest Common Factor of 9680

Related Greatest Common Factor of 9686

Frequently Asked Questions on GCF of 9680 and 9686

1. What is the GCF of 9680 and 9686?

Answer: GCF of 9680 and 9686 is 2.

2. What are the Factors of 9680?

Answer: Factors of 9680 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 121, 176, 220, 242, 440, 484, 605, 880, 968, 1210, 1936, 2420, 4840, 9680. There are 30 integers that are factors of 9680. The greatest factor of 9680 is 9680.

3. 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.

4. How to Find the GCF of 9680 and 9686?

Answer:

Greatest Common Factor of 9680 and 9686 = 2

Step 1: Find the prime factorization of 9680

9680 = 2 x 2 x 2 x 2 x 5 x 11 x 11

Step 2: Find the prime factorization of 9686

9686 = 2 x 29 x 167

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 9680 and 9686 is 2