Greatest Common Factor of 3783 and 3791

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, 3791 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3783 and 3791 is 1.

GCF(3783,3791) = 1

GCF of 3783 and 3791

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

GCF of:
and

Greatest Common Factor of 3783 and 3791

GCF of 3783 and 3791 is 1

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 3791


17 3791
223 223
1

Prime factors of 3791 are 17,223. Prime factorization of 3791 in exponential form is:

3791 = 171×2231

∴ So by taking common prime factors GCF of 3783 and 3791 is 1

Greatest Common Factor of 3783 and 3791 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 3791

List of positive integer factors of 3791 that divides 3791 without a remainder.

1,17,223,3791

Greatest Common Factor

We found the factors and prime factorization of 3783 and 3791. The biggest common factor number is the GCF number.
So the greatest common factor 3783 and 3791 is 1.

Also check out the Least Common Multiple of 3783 and 3791

Properties of GCF 3783 and 3791

(i) The GCF of 3783 and 3791 is associative

GCF of 3783 and 3791 = GCF of 3791 and 3783

Related Greatest Common Factor of 3783

Related Greatest Common Factor of 3791

Frequently Asked Questions on GCF of 3783 and 3791

1. What is the GCF of 3783 and 3791?

Answer: GCF of 3783 and 3791 is 1.

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 3791?

Answer: Factors of 3791 are 1, 17, 223, 3791. There are 4 integers that are factors of 3791. The greatest factor of 3791 is 3791.

4. How to Find the GCF of 3783 and 3791?

Answer:

Greatest Common Factor of 3783 and 3791 = 1

Step 1: Find the prime factorization of 3783

3783 = 3 x 13 x 97

Step 2: Find the prime factorization of 3791

3791 = 17 x 223

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 3783 and 3791 is 1