Greatest Common Factor of 9805 and 9810

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 9805, 9810 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9805 and 9810 is 5.

GCF(9805,9810) = 5

GCF of 9805 and 9810

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

GCF of:
and

Greatest Common Factor of 9805 and 9810

GCF of 9805 and 9810 is 5

Prime Factorization of 9805


5 9805
37 1961
53 53
1

Prime factors of 9805 are 5,37,53. Prime factorization of 9805 in exponential form is:

9805 = 51×371×531

Prime Factorization of 9810


2 9810
3 4905
3 1635
5 545
109 109
1

Prime factors of 9810 are 2,3,5,109. Prime factorization of 9810 in exponential form is:

9810 = 21×32×51×1091

∴ So by taking common prime factors GCF of 9805 and 9810 is 5

Greatest Common Factor of 9805 and 9810 by matching factors method

Factors of 9805

List of positive integer factors of 9805 that divides 9805 without a remainder.

1,5,37,53,185,265,1961,9805

Factors of 9810

List of positive integer factors of 9810 that divides 9810 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90,109,218,327,545,654,981,1090,1635,1962,3270,4905,9810

Greatest Common Factor

We found the factors and prime factorization of 9805 and 9810. The biggest common factor number is the GCF number.
So the greatest common factor 9805 and 9810 is 5.

Also check out the Least Common Multiple of 9805 and 9810

Properties of GCF 9805 and 9810

(i) The GCF of 9805 and 9810 is associative

GCF of 9805 and 9810 = GCF of 9810 and 9805

Related Greatest Common Factor of 9805

Related Greatest Common Factor of 9810

Frequently Asked Questions on GCF of 9805 and 9810

1. What is the GCF of 9805 and 9810?

Answer: GCF of 9805 and 9810 is 5.

2. What are the Factors of 9805?

Answer: Factors of 9805 are 1, 5, 37, 53, 185, 265, 1961, 9805. There are 8 integers that are factors of 9805. The greatest factor of 9805 is 9805.

3. What are the Factors of 9810?

Answer: Factors of 9810 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 109, 218, 327, 545, 654, 981, 1090, 1635, 1962, 3270, 4905, 9810. There are 24 integers that are factors of 9810. The greatest factor of 9810 is 9810.

4. How to Find the GCF of 9805 and 9810?

Answer:

Greatest Common Factor of 9805 and 9810 = 5

Step 1: Find the prime factorization of 9805

9805 = 5 x 37 x 53

Step 2: Find the prime factorization of 9810

9810 = 2 x 3 x 3 x 5 x 109

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 9805 and 9810 is 5