Greatest Common Factor of 3789 and 3795

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 3789, 3795 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3789 and 3795 is 3.

GCF(3789,3795) = 3

GCF of 3789 and 3795

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

GCF of:
and

Greatest Common Factor of 3789 and 3795

GCF of 3789 and 3795 is 3

Prime Factorization of 3789


3 3789
3 1263
421 421
1

Prime factors of 3789 are 3,421. Prime factorization of 3789 in exponential form is:

3789 = 32×4211

Prime Factorization of 3795


3 3795
5 1265
11 253
23 23
1

Prime factors of 3795 are 3,5,11,23. Prime factorization of 3795 in exponential form is:

3795 = 31×51×111×231

∴ So by taking common prime factors GCF of 3789 and 3795 is 3

Greatest Common Factor of 3789 and 3795 by matching factors method

Factors of 3789

List of positive integer factors of 3789 that divides 3789 without a remainder.

1,3,9,421,1263,3789

Factors of 3795

List of positive integer factors of 3795 that divides 3795 without a remainder.

1,3,5,11,15,23,33,55,69,115,165,253,345,759,1265,3795

Greatest Common Factor

We found the factors and prime factorization of 3789 and 3795. The biggest common factor number is the GCF number.
So the greatest common factor 3789 and 3795 is 3.

Also check out the Least Common Multiple of 3789 and 3795

Properties of GCF 3789 and 3795

(i) The GCF of 3789 and 3795 is associative

GCF of 3789 and 3795 = GCF of 3795 and 3789

Related Greatest Common Factor of 3789

Related Greatest Common Factor of 3795

Frequently Asked Questions on GCF of 3789 and 3795

1. What is the GCF of 3789 and 3795?

Answer: GCF of 3789 and 3795 is 3.

2. What are the Factors of 3789?

Answer: Factors of 3789 are 1, 3, 9, 421, 1263, 3789. There are 6 integers that are factors of 3789. The greatest factor of 3789 is 3789.

3. What are the Factors of 3795?

Answer: Factors of 3795 are 1, 3, 5, 11, 15, 23, 33, 55, 69, 115, 165, 253, 345, 759, 1265, 3795. There are 16 integers that are factors of 3795. The greatest factor of 3795 is 3795.

4. How to Find the GCF of 3789 and 3795?

Answer:

Greatest Common Factor of 3789 and 3795 = 3

Step 1: Find the prime factorization of 3789

3789 = 3 x 3 x 421

Step 2: Find the prime factorization of 3795

3795 = 3 x 5 x 11 x 23

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 3789 and 3795 is 3