Greatest Common Factor of 9813 and 9819

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 9813, 9819 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9813 and 9819 is 3.

GCF(9813,9819) = 3

GCF of 9813 and 9819

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

GCF of:
and

Greatest Common Factor of 9813 and 9819

GCF of 9813 and 9819 is 3

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

Prime Factorization of 9819


3 9819
3 3273
1091 1091
1

Prime factors of 9819 are 3,1091. Prime factorization of 9819 in exponential form is:

9819 = 32×10911

∴ So by taking common prime factors GCF of 9813 and 9819 is 3

Greatest Common Factor of 9813 and 9819 by matching factors method

Factors of 9813

List of positive integer factors of 9813 that divides 9813 without a remainder.

1,3,3271,9813

Factors of 9819

List of positive integer factors of 9819 that divides 9819 without a remainder.

1,3,9,1091,3273,9819

Greatest Common Factor

We found the factors and prime factorization of 9813 and 9819. The biggest common factor number is the GCF number.
So the greatest common factor 9813 and 9819 is 3.

Also check out the Least Common Multiple of 9813 and 9819

Properties of GCF 9813 and 9819

(i) The GCF of 9813 and 9819 is associative

GCF of 9813 and 9819 = GCF of 9819 and 9813

Related Greatest Common Factor of 9813

Related Greatest Common Factor of 9819

Frequently Asked Questions on GCF of 9813 and 9819

1. What is the GCF of 9813 and 9819?

Answer: GCF of 9813 and 9819 is 3.

2. 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.

3. What are the Factors of 9819?

Answer: Factors of 9819 are 1, 3, 9, 1091, 3273, 9819. There are 6 integers that are factors of 9819. The greatest factor of 9819 is 9819.

4. How to Find the GCF of 9813 and 9819?

Answer:

Greatest Common Factor of 9813 and 9819 = 3

Step 1: Find the prime factorization of 9813

9813 = 3 x 3271

Step 2: Find the prime factorization of 9819

9819 = 3 x 3 x 1091

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 9813 and 9819 is 3