Greatest Common Factor of 3809 and 3814

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 3809, 3814 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3809 and 3814 is 1.

GCF(3809,3814) = 1

GCF of 3809 and 3814

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

GCF of:
and

Greatest Common Factor of 3809 and 3814

GCF of 3809 and 3814 is 1

Prime Factorization of 3809


13 3809
293 293
1

Prime factors of 3809 are 13,293. Prime factorization of 3809 in exponential form is:

3809 = 131×2931

Prime Factorization of 3814


2 3814
1907 1907
1

Prime factors of 3814 are 2,1907. Prime factorization of 3814 in exponential form is:

3814 = 21×19071

∴ So by taking common prime factors GCF of 3809 and 3814 is 1

Greatest Common Factor of 3809 and 3814 by matching factors method

Factors of 3809

List of positive integer factors of 3809 that divides 3809 without a remainder.

1,13,293,3809

Factors of 3814

List of positive integer factors of 3814 that divides 3814 without a remainder.

1,2,1907,3814

Greatest Common Factor

We found the factors and prime factorization of 3809 and 3814. The biggest common factor number is the GCF number.
So the greatest common factor 3809 and 3814 is 1.

Also check out the Least Common Multiple of 3809 and 3814

Properties of GCF 3809 and 3814

(i) The GCF of 3809 and 3814 is associative

GCF of 3809 and 3814 = GCF of 3814 and 3809

Related Greatest Common Factor of 3809

Related Greatest Common Factor of 3814

Frequently Asked Questions on GCF of 3809 and 3814

1. What is the GCF of 3809 and 3814?

Answer: GCF of 3809 and 3814 is 1.

2. What are the Factors of 3809?

Answer: Factors of 3809 are 1, 13, 293, 3809. There are 4 integers that are factors of 3809. The greatest factor of 3809 is 3809.

3. What are the Factors of 3814?

Answer: Factors of 3814 are 1, 2, 1907, 3814. There are 4 integers that are factors of 3814. The greatest factor of 3814 is 3814.

4. How to Find the GCF of 3809 and 3814?

Answer:

Greatest Common Factor of 3809 and 3814 = 1

Step 1: Find the prime factorization of 3809

3809 = 13 x 293

Step 2: Find the prime factorization of 3814

3814 = 2 x 1907

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 3809 and 3814 is 1