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
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
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
(i) The GCF of 3804 and 3808 is associative
GCF of 3804 and 3808 = GCF of 3808 and 3804
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