Greatest Common Factor of 3800 and 3804

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 3800, 3804 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3800 and 3804 is 4.

GCF(3800,3804) = 4

GCF of 3800 and 3804

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

GCF of:
and

Greatest Common Factor of 3800 and 3804

GCF of 3800 and 3804 is 4

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

Prime Factorization of 3804


2 3804
2 1902
3 951
317 317
1

Prime factors of 3804 are 2,3,317. Prime factorization of 3804 in exponential form is:

3804 = 22×31×3171

∴ So by taking common prime factors GCF of 3800 and 3804 is 4

Greatest Common Factor of 3800 and 3804 by matching factors method

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

Factors of 3804

List of positive integer factors of 3804 that divides 3804 without a remainder.

1,2,3,4,6,12,317,634,951,1268,1902,3804

Greatest Common Factor

We found the factors and prime factorization of 3800 and 3804. The biggest common factor number is the GCF number.
So the greatest common factor 3800 and 3804 is 4.

Also check out the Least Common Multiple of 3800 and 3804

Properties of GCF 3800 and 3804

(i) The GCF of 3800 and 3804 is associative

GCF of 3800 and 3804 = GCF of 3804 and 3800

Related Greatest Common Factor of 3800

Related Greatest Common Factor of 3804

Frequently Asked Questions on GCF of 3800 and 3804

1. What is the GCF of 3800 and 3804?

Answer: GCF of 3800 and 3804 is 4.

2. 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.

3. What are the Factors of 3804?

Answer: Factors of 3804 are 1, 2, 3, 4, 6, 12, 317, 634, 951, 1268, 1902, 3804. There are 12 integers that are factors of 3804. The greatest factor of 3804 is 3804.

4. How to Find the GCF of 3800 and 3804?

Answer:

Greatest Common Factor of 3800 and 3804 = 4

Step 1: Find the prime factorization of 3800

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

Step 2: Find the prime factorization of 3804

3804 = 2 x 2 x 3 x 317

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 3800 and 3804 is 4