Greatest Common Factor of 9690 and 9697

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, 9697 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9690 and 9697 is 1.

GCF(9690,9697) = 1

GCF of 9690 and 9697

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

GCF of:
and

Greatest Common Factor of 9690 and 9697

GCF of 9690 and 9697 is 1

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 9697


9697 9697
1

Prime factors of 9697 are 9697. Prime factorization of 9697 in exponential form is:

9697 = 96971

∴ So by taking common prime factors GCF of 9690 and 9697 is 1

Greatest Common Factor of 9690 and 9697 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 9697

List of positive integer factors of 9697 that divides 9697 without a remainder.

1,9697

Greatest Common Factor

We found the factors and prime factorization of 9690 and 9697. The biggest common factor number is the GCF number.
So the greatest common factor 9690 and 9697 is 1.

Also check out the Least Common Multiple of 9690 and 9697

Properties of GCF 9690 and 9697

(i) The GCF of 9690 and 9697 is associative

GCF of 9690 and 9697 = GCF of 9697 and 9690

Frequently Asked Questions on GCF of 9690 and 9697

1. What is the GCF of 9690 and 9697?

Answer: GCF of 9690 and 9697 is 1.

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 9697?

Answer: Factors of 9697 are 1, 9697. There are 2 integers that are factors of 9697. The greatest factor of 9697 is 9697.

4. How to Find the GCF of 9690 and 9697?

Answer:

Greatest Common Factor of 9690 and 9697 = 1

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 9697

9697 = 9697

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 9690 and 9697 is 1