Greatest Common Factor of 3774 and 3777

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 3774, 3777 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3774 and 3777 is 3.

GCF(3774,3777) = 3

GCF of 3774 and 3777

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

GCF of:
and

Greatest Common Factor of 3774 and 3777

GCF of 3774 and 3777 is 3

Prime Factorization of 3774


2 3774
3 1887
17 629
37 37
1

Prime factors of 3774 are 2,3,17,37. Prime factorization of 3774 in exponential form is:

3774 = 21×31×171×371

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

∴ So by taking common prime factors GCF of 3774 and 3777 is 3

Greatest Common Factor of 3774 and 3777 by matching factors method

Factors of 3774

List of positive integer factors of 3774 that divides 3774 without a remainder.

1,2,3,6,17,34,37,51,74,102,111,222,629,1258,1887,3774

Factors of 3777

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

1,3,1259,3777

Greatest Common Factor

We found the factors and prime factorization of 3774 and 3777. The biggest common factor number is the GCF number.
So the greatest common factor 3774 and 3777 is 3.

Also check out the Least Common Multiple of 3774 and 3777

Properties of GCF 3774 and 3777

(i) The GCF of 3774 and 3777 is associative

GCF of 3774 and 3777 = GCF of 3777 and 3774

Related Greatest Common Factor of 3774

Related Greatest Common Factor of 3777

Frequently Asked Questions on GCF of 3774 and 3777

1. What is the GCF of 3774 and 3777?

Answer: GCF of 3774 and 3777 is 3.

2. What are the Factors of 3774?

Answer: Factors of 3774 are 1, 2, 3, 6, 17, 34, 37, 51, 74, 102, 111, 222, 629, 1258, 1887, 3774. There are 16 integers that are factors of 3774. The greatest factor of 3774 is 3774.

3. 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.

4. How to Find the GCF of 3774 and 3777?

Answer:

Greatest Common Factor of 3774 and 3777 = 3

Step 1: Find the prime factorization of 3774

3774 = 2 x 3 x 17 x 37

Step 2: Find the prime factorization of 3777

3777 = 3 x 1259

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 3774 and 3777 is 3