Greatest Common Factor of 3788 and 3795

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 3788, 3795 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3788 and 3795 is 1.

GCF(3788,3795) = 1

GCF of 3788 and 3795

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

GCF of:
and

Greatest Common Factor of 3788 and 3795

GCF of 3788 and 3795 is 1

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

Prime Factorization of 3795


3 3795
5 1265
11 253
23 23
1

Prime factors of 3795 are 3,5,11,23. Prime factorization of 3795 in exponential form is:

3795 = 31×51×111×231

∴ So by taking common prime factors GCF of 3788 and 3795 is 1

Greatest Common Factor of 3788 and 3795 by matching factors method

Factors of 3788

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

1,2,4,947,1894,3788

Factors of 3795

List of positive integer factors of 3795 that divides 3795 without a remainder.

1,3,5,11,15,23,33,55,69,115,165,253,345,759,1265,3795

Greatest Common Factor

We found the factors and prime factorization of 3788 and 3795. The biggest common factor number is the GCF number.
So the greatest common factor 3788 and 3795 is 1.

Also check out the Least Common Multiple of 3788 and 3795

Properties of GCF 3788 and 3795

(i) The GCF of 3788 and 3795 is associative

GCF of 3788 and 3795 = GCF of 3795 and 3788

Related Greatest Common Factor of 3788

Related Greatest Common Factor of 3795

Frequently Asked Questions on GCF of 3788 and 3795

1. What is the GCF of 3788 and 3795?

Answer: GCF of 3788 and 3795 is 1.

2. 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.

3. What are the Factors of 3795?

Answer: Factors of 3795 are 1, 3, 5, 11, 15, 23, 33, 55, 69, 115, 165, 253, 345, 759, 1265, 3795. There are 16 integers that are factors of 3795. The greatest factor of 3795 is 3795.

4. How to Find the GCF of 3788 and 3795?

Answer:

Greatest Common Factor of 3788 and 3795 = 1

Step 1: Find the prime factorization of 3788

3788 = 2 x 2 x 947

Step 2: Find the prime factorization of 3795

3795 = 3 x 5 x 11 x 23

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 3788 and 3795 is 1