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 3805, 3810 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3805 and 3810 is 5.
GCF(3805,3810) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3805
5 | 3805 |
761 | 761 |
1 |
Prime factors of 3805 are 5,761. Prime factorization of 3805 in exponential form is:
3805 = 51×7611
Prime Factorization of 3810
2 | 3810 |
3 | 1905 |
5 | 635 |
127 | 127 |
1 |
Prime factors of 3810 are 2,3,5,127. Prime factorization of 3810 in exponential form is:
3810 = 21×31×51×1271
∴ So by taking common prime factors GCF of 3805 and 3810 is 5
Factors of 3805
List of positive integer factors of 3805 that divides 3805 without a remainder.
1,5,761,3805
Factors of 3810
List of positive integer factors of 3810 that divides 3810 without a remainder.
1,2,3,5,6,10,15,30,127,254,381,635,762,1270,1905,3810
Greatest Common Factor
We found the factors and prime factorization of 3805 and 3810. The biggest common factor number is the GCF number.
So the greatest common factor 3805 and 3810 is 5.
Also check out the Least Common Multiple of 3805 and 3810
(i) The GCF of 3805 and 3810 is associative
GCF of 3805 and 3810 = GCF of 3810 and 3805
1. What is the GCF of 3805 and 3810?
Answer: GCF of 3805 and 3810 is 5.
2. What are the Factors of 3805?
Answer: Factors of 3805 are 1, 5, 761, 3805. There are 4 integers that are factors of 3805. The greatest factor of 3805 is 3805.
3. What are the Factors of 3810?
Answer: Factors of 3810 are 1, 2, 3, 5, 6, 10, 15, 30, 127, 254, 381, 635, 762, 1270, 1905, 3810. There are 16 integers that are factors of 3810. The greatest factor of 3810 is 3810.
4. How to Find the GCF of 3805 and 3810?
Answer:
Greatest Common Factor of 3805 and 3810 = 5
Step 1: Find the prime factorization of 3805
3805 = 5 x 761
Step 2: Find the prime factorization of 3810
3810 = 2 x 3 x 5 x 127
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 3805 and 3810 is 5