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, 3811 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3808 and 3811 is 1.
GCF(3808,3811) = 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 3811
37 | 3811 |
103 | 103 |
1 |
Prime factors of 3811 are 37,103. Prime factorization of 3811 in exponential form is:
3811 = 371×1031
∴ So by taking common prime factors GCF of 3808 and 3811 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 3811
List of positive integer factors of 3811 that divides 3811 without a remainder.
1,37,103,3811
Greatest Common Factor
We found the factors and prime factorization of 3808 and 3811. The biggest common factor number is the GCF number.
So the greatest common factor 3808 and 3811 is 1.
Also check out the Least Common Multiple of 3808 and 3811
(i) The GCF of 3808 and 3811 is associative
GCF of 3808 and 3811 = GCF of 3811 and 3808
1. What is the GCF of 3808 and 3811?
Answer: GCF of 3808 and 3811 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 3811?
Answer: Factors of 3811 are 1, 37, 103, 3811. There are 4 integers that are factors of 3811. The greatest factor of 3811 is 3811.
4. How to Find the GCF of 3808 and 3811?
Answer:
Greatest Common Factor of 3808 and 3811 = 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 3811
3811 = 37 x 103
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 3811 is 1