Greatest Common Factor of 9687 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 9687, 9690 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9687 and 9690 is 3.

GCF(9687,9690) = 3

GCF of 9687 and 9690

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

GCF of:
and

Greatest Common Factor of 9687 and 9690

GCF of 9687 and 9690 is 3

Prime Factorization of 9687


3 9687
3229 3229
1

Prime factors of 9687 are 3,3229. Prime factorization of 9687 in exponential form is:

9687 = 31×32291

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 9687 and 9690 is 3

Greatest Common Factor of 9687 and 9690 by matching factors method

Factors of 9687

List of positive integer factors of 9687 that divides 9687 without a remainder.

1,3,3229,9687

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 9687 and 9690. The biggest common factor number is the GCF number.
So the greatest common factor 9687 and 9690 is 3.

Also check out the Least Common Multiple of 9687 and 9690

Properties of GCF 9687 and 9690

(i) The GCF of 9687 and 9690 is associative

GCF of 9687 and 9690 = GCF of 9690 and 9687

Related Greatest Common Factor of 9687

Related Greatest Common Factor of 9690

Frequently Asked Questions on GCF of 9687 and 9690

1. What is the GCF of 9687 and 9690?

Answer: GCF of 9687 and 9690 is 3.

2. What are the Factors of 9687?

Answer: Factors of 9687 are 1, 3, 3229, 9687. There are 4 integers that are factors of 9687. The greatest factor of 9687 is 9687.

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 9687 and 9690?

Answer:

Greatest Common Factor of 9687 and 9690 = 3

Step 1: Find the prime factorization of 9687

9687 = 3 x 3229

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 = 3

Step 4: Therefore, the greatest common factor of 9687 and 9690 is 3