Greatest Common Factor of 3805 and 3809

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 3805, 3809 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3805 and 3809 is 1.

GCF(3805,3809) = 1

GCF of 3805 and 3809

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

GCF of:
and

Greatest Common Factor of 3805 and 3809

GCF of 3805 and 3809 is 1

Prime Factorization of 3805


5 3805
761 761
1

Prime factors of 3805 are 5,761. Prime factorization of 3805 in exponential form is:

3805 = 51×7611

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

∴ So by taking common prime factors GCF of 3805 and 3809 is 1

Greatest Common Factor of 3805 and 3809 by matching factors method

Factors of 3805

List of positive integer factors of 3805 that divides 3805 without a remainder.

1,5,761,3805

Factors of 3809

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

1,13,293,3809

Greatest Common Factor

We found the factors and prime factorization of 3805 and 3809. The biggest common factor number is the GCF number.
So the greatest common factor 3805 and 3809 is 1.

Also check out the Least Common Multiple of 3805 and 3809

Properties of GCF 3805 and 3809

(i) The GCF of 3805 and 3809 is associative

GCF of 3805 and 3809 = GCF of 3809 and 3805

Related Greatest Common Factor of 3805

Related Greatest Common Factor of 3809

Frequently Asked Questions on GCF of 3805 and 3809

1. What is the GCF of 3805 and 3809?

Answer: GCF of 3805 and 3809 is 1.

2. What are the Factors of 3805?

Answer: Factors of 3805 are 1, 5, 761, 3805. There are 4 integers that are factors of 3805. The greatest factor of 3805 is 3805.

3. 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.

4. How to Find the GCF of 3805 and 3809?

Answer:

Greatest Common Factor of 3805 and 3809 = 1

Step 1: Find the prime factorization of 3805

3805 = 5 x 761

Step 2: Find the prime factorization of 3809

3809 = 13 x 293

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 3805 and 3809 is 1