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 3705, 3710 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3705 and 3710 is 5.
GCF(3705,3710) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3705
3 | 3705 |
5 | 1235 |
13 | 247 |
19 | 19 |
1 |
Prime factors of 3705 are 3,5,13,19. Prime factorization of 3705 in exponential form is:
3705 = 31×51×131×191
Prime Factorization of 3710
2 | 3710 |
5 | 1855 |
7 | 371 |
53 | 53 |
1 |
Prime factors of 3710 are 2,5,7,53. Prime factorization of 3710 in exponential form is:
3710 = 21×51×71×531
∴ So by taking common prime factors GCF of 3705 and 3710 is 5
Factors of 3705
List of positive integer factors of 3705 that divides 3705 without a remainder.
1,3,5,13,15,19,39,57,65,95,195,247,285,741,1235,3705
Factors of 3710
List of positive integer factors of 3710 that divides 3710 without a remainder.
1,2,5,7,10,14,35,53,70,106,265,371,530,742,1855,3710
Greatest Common Factor
We found the factors and prime factorization of 3705 and 3710. The biggest common factor number is the GCF number.
So the greatest common factor 3705 and 3710 is 5.
Also check out the Least Common Multiple of 3705 and 3710
(i) The GCF of 3705 and 3710 is associative
GCF of 3705 and 3710 = GCF of 3710 and 3705
1. What is the GCF of 3705 and 3710?
Answer: GCF of 3705 and 3710 is 5.
2. What are the Factors of 3705?
Answer: Factors of 3705 are 1, 3, 5, 13, 15, 19, 39, 57, 65, 95, 195, 247, 285, 741, 1235, 3705. There are 16 integers that are factors of 3705. The greatest factor of 3705 is 3705.
3. What are the Factors of 3710?
Answer: Factors of 3710 are 1, 2, 5, 7, 10, 14, 35, 53, 70, 106, 265, 371, 530, 742, 1855, 3710. There are 16 integers that are factors of 3710. The greatest factor of 3710 is 3710.
4. How to Find the GCF of 3705 and 3710?
Answer:
Greatest Common Factor of 3705 and 3710 = 5
Step 1: Find the prime factorization of 3705
3705 = 3 x 5 x 13 x 19
Step 2: Find the prime factorization of 3710
3710 = 2 x 5 x 7 x 53
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 3705 and 3710 is 5