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, 9813 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9810 and 9813 is 3.
GCF(9810,9813) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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 9813
3 | 9813 |
3271 | 3271 |
1 |
Prime factors of 9813 are 3,3271. Prime factorization of 9813 in exponential form is:
9813 = 31×32711
∴ So by taking common prime factors GCF of 9810 and 9813 is 3
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 9813
List of positive integer factors of 9813 that divides 9813 without a remainder.
1,3,3271,9813
Greatest Common Factor
We found the factors and prime factorization of 9810 and 9813. The biggest common factor number is the GCF number.
So the greatest common factor 9810 and 9813 is 3.
Also check out the Least Common Multiple of 9810 and 9813
(i) The GCF of 9810 and 9813 is associative
GCF of 9810 and 9813 = GCF of 9813 and 9810
1. What is the GCF of 9810 and 9813?
Answer: GCF of 9810 and 9813 is 3.
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 9813?
Answer: Factors of 9813 are 1, 3, 3271, 9813. There are 4 integers that are factors of 9813. The greatest factor of 9813 is 9813.
4. How to Find the GCF of 9810 and 9813?
Answer:
Greatest Common Factor of 9810 and 9813 = 3
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 9813
9813 = 3 x 3271
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 9810 and 9813 is 3