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 3808, 3809 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3808 and 3809 is 1.
GCF(3808,3809) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 3809
13 | 3809 |
293 | 293 |
1 |
Prime factors of 3809 are 13,293. Prime factorization of 3809 in exponential form is:
3809 = 131×2931
∴ So by taking common prime factors GCF of 3808 and 3809 is 1
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
Factors of 3809
List of positive integer factors of 3809 that divides 3809 without a remainder.
1,13,293,3809
Greatest Common Factor
We found the factors and prime factorization of 3808 and 3809. The biggest common factor number is the GCF number.
So the greatest common factor 3808 and 3809 is 1.
Also check out the Least Common Multiple of 3808 and 3809
(i) The GCF of 3808 and 3809 is associative
GCF of 3808 and 3809 = GCF of 3809 and 3808
1. What is the GCF of 3808 and 3809?
Answer: GCF of 3808 and 3809 is 1.
2. 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.
3. What are the Factors of 3809?
Answer: Factors of 3809 are 1, 13, 293, 3809. There are 4 integers that are factors of 3809. The greatest factor of 3809 is 3809.
4. How to Find the GCF of 3808 and 3809?
Answer:
Greatest Common Factor of 3808 and 3809 = 1
Step 1: Find the prime factorization of 3808
3808 = 2 x 2 x 2 x 2 x 2 x 7 x 17
Step 2: Find the prime factorization of 3809
3809 = 13 x 293
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 3808 and 3809 is 1