Greatest Common Factor of 9814 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 9814, 9819 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9814 and 9819 is 1.

GCF(9814,9819) = 1

GCF of 9814 and 9819

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

GCF of:
and

Greatest Common Factor of 9814 and 9819

GCF of 9814 and 9819 is 1

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

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 9814 and 9819 is 1

Greatest Common Factor of 9814 and 9819 by matching factors method

Factors of 9814

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

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

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 9814 and 9819. The biggest common factor number is the GCF number.
So the greatest common factor 9814 and 9819 is 1.

Also check out the Least Common Multiple of 9814 and 9819

Properties of GCF 9814 and 9819

(i) The GCF of 9814 and 9819 is associative

GCF of 9814 and 9819 = GCF of 9819 and 9814

Related Greatest Common Factor of 9814

Related Greatest Common Factor of 9819

Frequently Asked Questions on GCF of 9814 and 9819

1. What is the GCF of 9814 and 9819?

Answer: GCF of 9814 and 9819 is 1.

2. 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.

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 9814 and 9819?

Answer:

Greatest Common Factor of 9814 and 9819 = 1

Step 1: Find the prime factorization of 9814

9814 = 2 x 7 x 701

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 = = 1

Step 4: Therefore, the greatest common factor of 9814 and 9819 is 1