Greatest Common Factor of 9810 and 9815

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 9810, 9815 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9810 and 9815 is 5.

GCF(9810,9815) = 5

GCF of 9810 and 9815

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

GCF of:
and

Greatest Common Factor of 9810 and 9815

GCF of 9810 and 9815 is 5

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

Prime Factorization of 9815


5 9815
13 1963
151 151
1

Prime factors of 9815 are 5,13,151. Prime factorization of 9815 in exponential form is:

9815 = 51×131×1511

∴ So by taking common prime factors GCF of 9810 and 9815 is 5

Greatest Common Factor of 9810 and 9815 by matching factors method

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

Factors of 9815

List of positive integer factors of 9815 that divides 9815 without a remainder.

1,5,13,65,151,755,1963,9815

Greatest Common Factor

We found the factors and prime factorization of 9810 and 9815. The biggest common factor number is the GCF number.
So the greatest common factor 9810 and 9815 is 5.

Also check out the Least Common Multiple of 9810 and 9815

Properties of GCF 9810 and 9815

(i) The GCF of 9810 and 9815 is associative

GCF of 9810 and 9815 = GCF of 9815 and 9810

Related Greatest Common Factor of 9810

Related Greatest Common Factor of 9815

Frequently Asked Questions on GCF of 9810 and 9815

1. What is the GCF of 9810 and 9815?

Answer: GCF of 9810 and 9815 is 5.

2. 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.

3. What are the Factors of 9815?

Answer: Factors of 9815 are 1, 5, 13, 65, 151, 755, 1963, 9815. There are 8 integers that are factors of 9815. The greatest factor of 9815 is 9815.

4. How to Find the GCF of 9810 and 9815?

Answer:

Greatest Common Factor of 9810 and 9815 = 5

Step 1: Find the prime factorization of 9810

9810 = 2 x 3 x 3 x 5 x 109

Step 2: Find the prime factorization of 9815

9815 = 5 x 13 x 151

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 9810 and 9815 is 5