Greatest Common Factor of 3777 and 3783

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 3777, 3783 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3777 and 3783 is 3.

GCF(3777,3783) = 3

GCF of 3777 and 3783

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

GCF of:
and

Greatest Common Factor of 3777 and 3783

GCF of 3777 and 3783 is 3

Prime Factorization of 3777


3 3777
1259 1259
1

Prime factors of 3777 are 3,1259. Prime factorization of 3777 in exponential form is:

3777 = 31×12591

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

∴ So by taking common prime factors GCF of 3777 and 3783 is 3

Greatest Common Factor of 3777 and 3783 by matching factors method

Factors of 3777

List of positive integer factors of 3777 that divides 3777 without a remainder.

1,3,1259,3777

Factors of 3783

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

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

Greatest Common Factor

We found the factors and prime factorization of 3777 and 3783. The biggest common factor number is the GCF number.
So the greatest common factor 3777 and 3783 is 3.

Also check out the Least Common Multiple of 3777 and 3783

Properties of GCF 3777 and 3783

(i) The GCF of 3777 and 3783 is associative

GCF of 3777 and 3783 = GCF of 3783 and 3777

Related Greatest Common Factor of 3777

Related Greatest Common Factor of 3783

Frequently Asked Questions on GCF of 3777 and 3783

1. What is the GCF of 3777 and 3783?

Answer: GCF of 3777 and 3783 is 3.

2. What are the Factors of 3777?

Answer: Factors of 3777 are 1, 3, 1259, 3777. There are 4 integers that are factors of 3777. The greatest factor of 3777 is 3777.

3. 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.

4. How to Find the GCF of 3777 and 3783?

Answer:

Greatest Common Factor of 3777 and 3783 = 3

Step 1: Find the prime factorization of 3777

3777 = 3 x 1259

Step 2: Find the prime factorization of 3783

3783 = 3 x 13 x 97

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 3777 and 3783 is 3