Greatest Common Factor of 3795 and 3800

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 3795, 3800 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3795 and 3800 is 5.

GCF(3795,3800) = 5

GCF of 3795 and 3800

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

GCF of:
and

Greatest Common Factor of 3795 and 3800

GCF of 3795 and 3800 is 5

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

Prime Factorization of 3800


2 3800
2 1900
2 950
5 475
5 95
19 19
1

Prime factors of 3800 are 2,5,19. Prime factorization of 3800 in exponential form is:

3800 = 23×52×191

∴ So by taking common prime factors GCF of 3795 and 3800 is 5

Greatest Common Factor of 3795 and 3800 by matching factors method

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

Factors of 3800

List of positive integer factors of 3800 that divides 3800 without a remainder.

1,2,4,5,8,10,19,20,25,38,40,50,76,95,100,152,190,200,380,475,760,950,1900,3800

Greatest Common Factor

We found the factors and prime factorization of 3795 and 3800. The biggest common factor number is the GCF number.
So the greatest common factor 3795 and 3800 is 5.

Also check out the Least Common Multiple of 3795 and 3800

Properties of GCF 3795 and 3800

(i) The GCF of 3795 and 3800 is associative

GCF of 3795 and 3800 = GCF of 3800 and 3795

Related Greatest Common Factor of 3795

Related Greatest Common Factor of 3800

Frequently Asked Questions on GCF of 3795 and 3800

1. What is the GCF of 3795 and 3800?

Answer: GCF of 3795 and 3800 is 5.

2. 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.

3. What are the Factors of 3800?

Answer: Factors of 3800 are 1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 380, 475, 760, 950, 1900, 3800. There are 24 integers that are factors of 3800. The greatest factor of 3800 is 3800.

4. How to Find the GCF of 3795 and 3800?

Answer:

Greatest Common Factor of 3795 and 3800 = 5

Step 1: Find the prime factorization of 3795

3795 = 3 x 5 x 11 x 23

Step 2: Find the prime factorization of 3800

3800 = 2 x 2 x 2 x 5 x 5 x 19

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

GCF = 5

Step 4: Therefore, the greatest common factor of 3795 and 3800 is 5