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 3697, 3705 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3697 and 3705 is 1.
GCF(3697,3705) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3697
3697 | 3697 |
1 |
Prime factors of 3697 are 3697. Prime factorization of 3697 in exponential form is:
3697 = 36971
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 3697 and 3705 is 1
Factors of 3697
List of positive integer factors of 3697 that divides 3697 without a remainder.
1,3697
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 3697 and 3705. The biggest common factor number is the GCF number.
So the greatest common factor 3697 and 3705 is 1.
Also check out the Least Common Multiple of 3697 and 3705
(i) The GCF of 3697 and 3705 is associative
GCF of 3697 and 3705 = GCF of 3705 and 3697
1. What is the GCF of 3697 and 3705?
Answer: GCF of 3697 and 3705 is 1.
2. What are the Factors of 3697?
Answer: Factors of 3697 are 1, 3697. There are 2 integers that are factors of 3697. The greatest factor of 3697 is 3697.
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 3697 and 3705?
Answer:
Greatest Common Factor of 3697 and 3705 = 1
Step 1: Find the prime factorization of 3697
3697 = 3697
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 3697 and 3705 is 1