Greatest Common Factor of 3804 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 3804, 3808 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3804 and 3808 is 4.

GCF(3804,3808) = 4

GCF of 3804 and 3808

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

GCF of:
and

Greatest Common Factor of 3804 and 3808

GCF of 3804 and 3808 is 4

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

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 3804 and 3808 is 4

Greatest Common Factor of 3804 and 3808 by matching factors method

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

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 3804 and 3808. The biggest common factor number is the GCF number.
So the greatest common factor 3804 and 3808 is 4.

Also check out the Least Common Multiple of 3804 and 3808

Properties of GCF 3804 and 3808

(i) The GCF of 3804 and 3808 is associative

GCF of 3804 and 3808 = GCF of 3808 and 3804

Related Greatest Common Factor of 3804

Related Greatest Common Factor of 3808

Frequently Asked Questions on GCF of 3804 and 3808

1. What is the GCF of 3804 and 3808?

Answer: GCF of 3804 and 3808 is 4.

2. 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.

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 3804 and 3808?

Answer:

Greatest Common Factor of 3804 and 3808 = 4

Step 1: Find the prime factorization of 3804

3804 = 2 x 2 x 3 x 317

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 = 4

Step 4: Therefore, the greatest common factor of 3804 and 3808 is 4