Greatest Common Factor of 9690 and 9696

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 9690, 9696 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9690 and 9696 is 6.

GCF(9690,9696) = 6

GCF of 9690 and 9696

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

GCF of:
and

Greatest Common Factor of 9690 and 9696

GCF of 9690 and 9696 is 6

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

Prime Factorization of 9696


2 9696
2 4848
2 2424
2 1212
2 606
3 303
101 101
1

Prime factors of 9696 are 2,3,101. Prime factorization of 9696 in exponential form is:

9696 = 25×31×1011

∴ So by taking common prime factors GCF of 9690 and 9696 is 6

Greatest Common Factor of 9690 and 9696 by matching factors method

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

Factors of 9696

List of positive integer factors of 9696 that divides 9696 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96,101,202,303,404,606,808,1212,1616,2424,3232,4848,9696

Greatest Common Factor

We found the factors and prime factorization of 9690 and 9696. The biggest common factor number is the GCF number.
So the greatest common factor 9690 and 9696 is 6.

Also check out the Least Common Multiple of 9690 and 9696

Properties of GCF 9690 and 9696

(i) The GCF of 9690 and 9696 is associative

GCF of 9690 and 9696 = GCF of 9696 and 9690

Related Greatest Common Factor of 9690

Related Greatest Common Factor of 9696

Frequently Asked Questions on GCF of 9690 and 9696

1. What is the GCF of 9690 and 9696?

Answer: GCF of 9690 and 9696 is 6.

2. 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.

3. What are the Factors of 9696?

Answer: Factors of 9696 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 101, 202, 303, 404, 606, 808, 1212, 1616, 2424, 3232, 4848, 9696. There are 24 integers that are factors of 9696. The greatest factor of 9696 is 9696.

4. How to Find the GCF of 9690 and 9696?

Answer:

Greatest Common Factor of 9690 and 9696 = 6

Step 1: Find the prime factorization of 9690

9690 = 2 x 3 x 5 x 17 x 19

Step 2: Find the prime factorization of 9696

9696 = 2 x 2 x 2 x 2 x 2 x 3 x 101

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 9690 and 9696 is 6