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 3795, 3801 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3795 and 3801 is 3.
GCF(3795,3801) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3795
3 | 3795 |
5 | 1265 |
11 | 253 |
23 | 23 |
1 |
Prime factors of 3795 are 3,5,11,23. Prime factorization of 3795 in exponential form is:
3795 = 31×51×111×231
Prime Factorization of 3801
3 | 3801 |
7 | 1267 |
181 | 181 |
1 |
Prime factors of 3801 are 3,7,181. Prime factorization of 3801 in exponential form is:
3801 = 31×71×1811
∴ So by taking common prime factors GCF of 3795 and 3801 is 3
Factors of 3795
List of positive integer factors of 3795 that divides 3795 without a remainder.
1,3,5,11,15,23,33,55,69,115,165,253,345,759,1265,3795
Factors of 3801
List of positive integer factors of 3801 that divides 3801 without a remainder.
1,3,7,21,181,543,1267,3801
Greatest Common Factor
We found the factors and prime factorization of 3795 and 3801. The biggest common factor number is the GCF number.
So the greatest common factor 3795 and 3801 is 3.
Also check out the Least Common Multiple of 3795 and 3801
(i) The GCF of 3795 and 3801 is associative
GCF of 3795 and 3801 = GCF of 3801 and 3795
1. What is the GCF of 3795 and 3801?
Answer: GCF of 3795 and 3801 is 3.
2. What are the Factors of 3795?
Answer: Factors of 3795 are 1, 3, 5, 11, 15, 23, 33, 55, 69, 115, 165, 253, 345, 759, 1265, 3795. There are 16 integers that are factors of 3795. The greatest factor of 3795 is 3795.
3. What are the Factors of 3801?
Answer: Factors of 3801 are 1, 3, 7, 21, 181, 543, 1267, 3801. There are 8 integers that are factors of 3801. The greatest factor of 3801 is 3801.
4. How to Find the GCF of 3795 and 3801?
Answer:
Greatest Common Factor of 3795 and 3801 = 3
Step 1: Find the prime factorization of 3795
3795 = 3 x 5 x 11 x 23
Step 2: Find the prime factorization of 3801
3801 = 3 x 7 x 181
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 3795 and 3801 is 3