Greatest Common Factor of 3782 and 3788

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 3782, 3788 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3782 and 3788 is 2.

GCF(3782,3788) = 2

GCF of 3782 and 3788

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

GCF of:
and

Greatest Common Factor of 3782 and 3788

GCF of 3782 and 3788 is 2

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

Prime Factorization of 3788


2 3788
2 1894
947 947
1

Prime factors of 3788 are 2,947. Prime factorization of 3788 in exponential form is:

3788 = 22×9471

∴ So by taking common prime factors GCF of 3782 and 3788 is 2

Greatest Common Factor of 3782 and 3788 by matching factors method

Factors of 3782

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

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

Factors of 3788

List of positive integer factors of 3788 that divides 3788 without a remainder.

1,2,4,947,1894,3788

Greatest Common Factor

We found the factors and prime factorization of 3782 and 3788. The biggest common factor number is the GCF number.
So the greatest common factor 3782 and 3788 is 2.

Also check out the Least Common Multiple of 3782 and 3788

Properties of GCF 3782 and 3788

(i) The GCF of 3782 and 3788 is associative

GCF of 3782 and 3788 = GCF of 3788 and 3782

Related Greatest Common Factor of 3782

Related Greatest Common Factor of 3788

Frequently Asked Questions on GCF of 3782 and 3788

1. What is the GCF of 3782 and 3788?

Answer: GCF of 3782 and 3788 is 2.

2. 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.

3. What are the Factors of 3788?

Answer: Factors of 3788 are 1, 2, 4, 947, 1894, 3788. There are 6 integers that are factors of 3788. The greatest factor of 3788 is 3788.

4. How to Find the GCF of 3782 and 3788?

Answer:

Greatest Common Factor of 3782 and 3788 = 2

Step 1: Find the prime factorization of 3782

3782 = 2 x 31 x 61

Step 2: Find the prime factorization of 3788

3788 = 2 x 2 x 947

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 3782 and 3788 is 2