Greatest Common Factor of 9807 and 9813

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 9807, 9813 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9807 and 9813 is 3.

GCF(9807,9813) = 3

GCF of 9807 and 9813

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

GCF of:
and

Greatest Common Factor of 9807 and 9813

GCF of 9807 and 9813 is 3

Prime Factorization of 9807


3 9807
7 3269
467 467
1

Prime factors of 9807 are 3,7,467. Prime factorization of 9807 in exponential form is:

9807 = 31×71×4671

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 9807 and 9813 is 3

Greatest Common Factor of 9807 and 9813 by matching factors method

Factors of 9807

List of positive integer factors of 9807 that divides 9807 without a remainder.

1,3,7,21,467,1401,3269,9807

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 9807 and 9813. The biggest common factor number is the GCF number.
So the greatest common factor 9807 and 9813 is 3.

Also check out the Least Common Multiple of 9807 and 9813

Properties of GCF 9807 and 9813

(i) The GCF of 9807 and 9813 is associative

GCF of 9807 and 9813 = GCF of 9813 and 9807

Related Greatest Common Factor of 9807

Related Greatest Common Factor of 9813

Frequently Asked Questions on GCF of 9807 and 9813

1. What is the GCF of 9807 and 9813?

Answer: GCF of 9807 and 9813 is 3.

2. What are the Factors of 9807?

Answer: Factors of 9807 are 1, 3, 7, 21, 467, 1401, 3269, 9807. There are 8 integers that are factors of 9807. The greatest factor of 9807 is 9807.

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 9807 and 9813?

Answer:

Greatest Common Factor of 9807 and 9813 = 3

Step 1: Find the prime factorization of 9807

9807 = 3 x 7 x 467

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 9807 and 9813 is 3