Greatest Common Factor of 3800 and 3808

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, 3808 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3800 and 3808 is 8.

GCF(3800,3808) = 8

GCF of 3800 and 3808

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

GCF of:
and

Greatest Common Factor of 3800 and 3808

GCF of 3800 and 3808 is 8

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 3808


2 3808
2 1904
2 952
2 476
2 238
7 119
17 17
1

Prime factors of 3808 are 2,7,17. Prime factorization of 3808 in exponential form is:

3808 = 25×71×171

∴ So by taking common prime factors GCF of 3800 and 3808 is 8

Greatest Common Factor of 3800 and 3808 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 3808

List of positive integer factors of 3808 that divides 3808 without a remainder.

1,2,4,7,8,14,16,17,28,32,34,56,68,112,119,136,224,238,272,476,544,952,1904,3808

Greatest Common Factor

We found the factors and prime factorization of 3800 and 3808. The biggest common factor number is the GCF number.
So the greatest common factor 3800 and 3808 is 8.

Also check out the Least Common Multiple of 3800 and 3808

Properties of GCF 3800 and 3808

(i) The GCF of 3800 and 3808 is associative

GCF of 3800 and 3808 = GCF of 3808 and 3800

Related Greatest Common Factor of 3800

Related Greatest Common Factor of 3808

Frequently Asked Questions on GCF of 3800 and 3808

1. What is the GCF of 3800 and 3808?

Answer: GCF of 3800 and 3808 is 8.

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 3808?

Answer: Factors of 3808 are 1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 68, 112, 119, 136, 224, 238, 272, 476, 544, 952, 1904, 3808. There are 24 integers that are factors of 3808. The greatest factor of 3808 is 3808.

4. How to Find the GCF of 3800 and 3808?

Answer:

Greatest Common Factor of 3800 and 3808 = 8

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 3808

3808 = 2 x 2 x 2 x 2 x 2 x 7 x 17

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 3800 and 3808 is 8