Greatest Common Factor of 9605 and 9610

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 9605, 9610 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9605 and 9610 is 5.

GCF(9605,9610) = 5

GCF of 9605 and 9610

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

GCF of:
and

Greatest Common Factor of 9605 and 9610

GCF of 9605 and 9610 is 5

Prime Factorization of 9605


5 9605
17 1921
113 113
1

Prime factors of 9605 are 5,17,113. Prime factorization of 9605 in exponential form is:

9605 = 51×171×1131

Prime Factorization of 9610


2 9610
5 4805
31 961
31 31
1

Prime factors of 9610 are 2,5,31. Prime factorization of 9610 in exponential form is:

9610 = 21×51×312

∴ So by taking common prime factors GCF of 9605 and 9610 is 5

Greatest Common Factor of 9605 and 9610 by matching factors method

Factors of 9605

List of positive integer factors of 9605 that divides 9605 without a remainder.

1,5,17,85,113,565,1921,9605

Factors of 9610

List of positive integer factors of 9610 that divides 9610 without a remainder.

1,2,5,10,31,62,155,310,961,1922,4805,9610

Greatest Common Factor

We found the factors and prime factorization of 9605 and 9610. The biggest common factor number is the GCF number.
So the greatest common factor 9605 and 9610 is 5.

Also check out the Least Common Multiple of 9605 and 9610

Properties of GCF 9605 and 9610

(i) The GCF of 9605 and 9610 is associative

GCF of 9605 and 9610 = GCF of 9610 and 9605

Related Greatest Common Factor of 9605

Related Greatest Common Factor of 9610

Frequently Asked Questions on GCF of 9605 and 9610

1. What is the GCF of 9605 and 9610?

Answer: GCF of 9605 and 9610 is 5.

2. What are the Factors of 9605?

Answer: Factors of 9605 are 1, 5, 17, 85, 113, 565, 1921, 9605. There are 8 integers that are factors of 9605. The greatest factor of 9605 is 9605.

3. What are the Factors of 9610?

Answer: Factors of 9610 are 1, 2, 5, 10, 31, 62, 155, 310, 961, 1922, 4805, 9610. There are 12 integers that are factors of 9610. The greatest factor of 9610 is 9610.

4. How to Find the GCF of 9605 and 9610?

Answer:

Greatest Common Factor of 9605 and 9610 = 5

Step 1: Find the prime factorization of 9605

9605 = 5 x 17 x 113

Step 2: Find the prime factorization of 9610

9610 = 2 x 5 x 31 x 31

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

GCF = 5

Step 4: Therefore, the greatest common factor of 9605 and 9610 is 5