Greatest Common Factor of 3766 and 3774

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 3766, 3774 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3766 and 3774 is 2.

GCF(3766,3774) = 2

GCF of 3766 and 3774

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

GCF of:
and

Greatest Common Factor of 3766 and 3774

GCF of 3766 and 3774 is 2

Prime Factorization of 3766


2 3766
7 1883
269 269
1

Prime factors of 3766 are 2,7,269. Prime factorization of 3766 in exponential form is:

3766 = 21×71×2691

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

∴ So by taking common prime factors GCF of 3766 and 3774 is 2

Greatest Common Factor of 3766 and 3774 by matching factors method

Factors of 3766

List of positive integer factors of 3766 that divides 3766 without a remainder.

1,2,7,14,269,538,1883,3766

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

Greatest Common Factor

We found the factors and prime factorization of 3766 and 3774. The biggest common factor number is the GCF number.
So the greatest common factor 3766 and 3774 is 2.

Also check out the Least Common Multiple of 3766 and 3774

Properties of GCF 3766 and 3774

(i) The GCF of 3766 and 3774 is associative

GCF of 3766 and 3774 = GCF of 3774 and 3766

Related Greatest Common Factor of 3766

Related Greatest Common Factor of 3774

Frequently Asked Questions on GCF of 3766 and 3774

1. What is the GCF of 3766 and 3774?

Answer: GCF of 3766 and 3774 is 2.

2. What are the Factors of 3766?

Answer: Factors of 3766 are 1, 2, 7, 14, 269, 538, 1883, 3766. There are 8 integers that are factors of 3766. The greatest factor of 3766 is 3766.

3. 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.

4. How to Find the GCF of 3766 and 3774?

Answer:

Greatest Common Factor of 3766 and 3774 = 2

Step 1: Find the prime factorization of 3766

3766 = 2 x 7 x 269

Step 2: Find the prime factorization of 3774

3774 = 2 x 3 x 17 x 37

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 3766 and 3774 is 2