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 3701, 3705 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3701 and 3705 is 1.
GCF(3701,3705) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3701
3701 | 3701 |
1 |
Prime factors of 3701 are 3701. Prime factorization of 3701 in exponential form is:
3701 = 37011
Prime Factorization of 3705
3 | 3705 |
5 | 1235 |
13 | 247 |
19 | 19 |
1 |
Prime factors of 3705 are 3.Prime factorization of 3705 in exponential form is:
3705 = 31×51×131×191
∴ So by taking common prime factors GCF of 3701 and 3705 is 1
Factors of 3701
List of positive integer factors of 3701 that divides 3701 without a remainder.
1,3701
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
Greatest Common Factor
We found the factors and prime factorization of 3701 and 3705. The biggest common factor number is the GCF number.
So the greatest common factor 3701 and 3705 is 1.
Also check out the Least Common Multiple of 3701 and 3705
(i) The GCF of 3701 and 3705 is associative
GCF of 3701 and 3705 = GCF of 3705 and 3701
1. What is the GCF of 3701 and 3705?
Answer: GCF of 3701 and 3705 is 1.
2. What are the Factors of 3701?
Answer: Factors of 3701 are 1, 3701. There are 2 integers that are factors of 3701. The greatest factor of 3701 is 3701.
3. 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.
4. How to Find the GCF of 3701 and 3705?
Answer:
Greatest Common Factor of 3701 and 3705 = 1
Step 1: Find the prime factorization of 3701
3701 = 3701
Step 2: Find the prime factorization of 3705
3705 = 3 x 5 x 13 x 19
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 3701 and 3705 is 1