Greatest Common Factor of 3783 and 3789

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 3783, 3789 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3783 and 3789 is 3.

GCF(3783,3789) = 3

GCF of 3783 and 3789

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

GCF of:
and

Greatest Common Factor of 3783 and 3789

GCF of 3783 and 3789 is 3

Prime Factorization of 3783


3 3783
13 1261
97 97
1

Prime factors of 3783 are 3,13,97. Prime factorization of 3783 in exponential form is:

3783 = 31×131×971

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

∴ So by taking common prime factors GCF of 3783 and 3789 is 3

Greatest Common Factor of 3783 and 3789 by matching factors method

Factors of 3783

List of positive integer factors of 3783 that divides 3783 without a remainder.

1,3,13,39,97,291,1261,3783

Factors of 3789

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

1,3,9,421,1263,3789

Greatest Common Factor

We found the factors and prime factorization of 3783 and 3789. The biggest common factor number is the GCF number.
So the greatest common factor 3783 and 3789 is 3.

Also check out the Least Common Multiple of 3783 and 3789

Properties of GCF 3783 and 3789

(i) The GCF of 3783 and 3789 is associative

GCF of 3783 and 3789 = GCF of 3789 and 3783

Related Greatest Common Factor of 3783

Related Greatest Common Factor of 3789

Frequently Asked Questions on GCF of 3783 and 3789

1. What is the GCF of 3783 and 3789?

Answer: GCF of 3783 and 3789 is 3.

2. What are the Factors of 3783?

Answer: Factors of 3783 are 1, 3, 13, 39, 97, 291, 1261, 3783. There are 8 integers that are factors of 3783. The greatest factor of 3783 is 3783.

3. 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.

4. How to Find the GCF of 3783 and 3789?

Answer:

Greatest Common Factor of 3783 and 3789 = 3

Step 1: Find the prime factorization of 3783

3783 = 3 x 13 x 97

Step 2: Find the prime factorization of 3789

3789 = 3 x 3 x 421

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 3783 and 3789 is 3