Greatest Common Factor of 9686 and 9690

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, 9690 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9686 and 9690 is 2.

GCF(9686,9690) = 2

GCF of 9686 and 9690

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

GCF of:
and

Greatest Common Factor of 9686 and 9690

GCF of 9686 and 9690 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 9690


2 9690
3 4845
5 1615
17 323
19 19
1

Prime factors of 9690 are 2,3,5,17,19. Prime factorization of 9690 in exponential form is:

9690 = 21×31×51×171×191

∴ So by taking common prime factors GCF of 9686 and 9690 is 2

Greatest Common Factor of 9686 and 9690 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 9690

List of positive integer factors of 9690 that divides 9690 without a remainder.

1,2,3,5,6,10,15,17,19,30,34,38,51,57,85,95,102,114,170,190,255,285,323,510,570,646,969,1615,1938,3230,4845,9690

Greatest Common Factor

We found the factors and prime factorization of 9686 and 9690. The biggest common factor number is the GCF number.
So the greatest common factor 9686 and 9690 is 2.

Also check out the Least Common Multiple of 9686 and 9690

Properties of GCF 9686 and 9690

(i) The GCF of 9686 and 9690 is associative

GCF of 9686 and 9690 = GCF of 9690 and 9686

Related Greatest Common Factor of 9686

Related Greatest Common Factor of 9690

Frequently Asked Questions on GCF of 9686 and 9690

1. What is the GCF of 9686 and 9690?

Answer: GCF of 9686 and 9690 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 9690?

Answer: Factors of 9690 are 1, 2, 3, 5, 6, 10, 15, 17, 19, 30, 34, 38, 51, 57, 85, 95, 102, 114, 170, 190, 255, 285, 323, 510, 570, 646, 969, 1615, 1938, 3230, 4845, 9690. There are 32 integers that are factors of 9690. The greatest factor of 9690 is 9690.

4. How to Find the GCF of 9686 and 9690?

Answer:

Greatest Common Factor of 9686 and 9690 = 2

Step 1: Find the prime factorization of 9686

9686 = 2 x 29 x 167

Step 2: Find the prime factorization of 9690

9690 = 2 x 3 x 5 x 17 x 19

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 9690 is 2