Greatest Common Factor of 9807 and 9814

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, 9814 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9807 and 9814 is 7.

GCF(9807,9814) = 7

GCF of 9807 and 9814

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

GCF of:
and

Greatest Common Factor of 9807 and 9814

GCF of 9807 and 9814 is 7

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 9814


2 9814
7 4907
701 701
1

Prime factors of 9814 are 2,7,701. Prime factorization of 9814 in exponential form is:

9814 = 21×71×7011

∴ So by taking common prime factors GCF of 9807 and 9814 is 7

Greatest Common Factor of 9807 and 9814 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 9814

List of positive integer factors of 9814 that divides 9814 without a remainder.

1,2,7,14,701,1402,4907,9814

Greatest Common Factor

We found the factors and prime factorization of 9807 and 9814. The biggest common factor number is the GCF number.
So the greatest common factor 9807 and 9814 is 7.

Also check out the Least Common Multiple of 9807 and 9814

Properties of GCF 9807 and 9814

(i) The GCF of 9807 and 9814 is associative

GCF of 9807 and 9814 = GCF of 9814 and 9807

Related Greatest Common Factor of 9807

Related Greatest Common Factor of 9814

Frequently Asked Questions on GCF of 9807 and 9814

1. What is the GCF of 9807 and 9814?

Answer: GCF of 9807 and 9814 is 7.

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 9814?

Answer: Factors of 9814 are 1, 2, 7, 14, 701, 1402, 4907, 9814. There are 8 integers that are factors of 9814. The greatest factor of 9814 is 9814.

4. How to Find the GCF of 9807 and 9814?

Answer:

Greatest Common Factor of 9807 and 9814 = 7

Step 1: Find the prime factorization of 9807

9807 = 3 x 7 x 467

Step 2: Find the prime factorization of 9814

9814 = 2 x 7 x 701

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 9807 and 9814 is 7