Greatest Common Factor of 3774 and 3782

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, 3782 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3774 and 3782 is 2.

GCF(3774,3782) = 2

GCF of 3774 and 3782

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

GCF of:
and

Greatest Common Factor of 3774 and 3782

GCF of 3774 and 3782 is 2

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 3782


2 3782
31 1891
61 61
1

Prime factors of 3782 are 2,31,61. Prime factorization of 3782 in exponential form is:

3782 = 21×311×611

∴ So by taking common prime factors GCF of 3774 and 3782 is 2

Greatest Common Factor of 3774 and 3782 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 3782

List of positive integer factors of 3782 that divides 3782 without a remainder.

1,2,31,61,62,122,1891,3782

Greatest Common Factor

We found the factors and prime factorization of 3774 and 3782. The biggest common factor number is the GCF number.
So the greatest common factor 3774 and 3782 is 2.

Also check out the Least Common Multiple of 3774 and 3782

Properties of GCF 3774 and 3782

(i) The GCF of 3774 and 3782 is associative

GCF of 3774 and 3782 = GCF of 3782 and 3774

Related Greatest Common Factor of 3774

Related Greatest Common Factor of 3782

Frequently Asked Questions on GCF of 3774 and 3782

1. What is the GCF of 3774 and 3782?

Answer: GCF of 3774 and 3782 is 2.

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 3782?

Answer: Factors of 3782 are 1, 2, 31, 61, 62, 122, 1891, 3782. There are 8 integers that are factors of 3782. The greatest factor of 3782 is 3782.

4. How to Find the GCF of 3774 and 3782?

Answer:

Greatest Common Factor of 3774 and 3782 = 2

Step 1: Find the prime factorization of 3774

3774 = 2 x 3 x 17 x 37

Step 2: Find the prime factorization of 3782

3782 = 2 x 31 x 61

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 3774 and 3782 is 2