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 3698, 3705 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3698 and 3705 is 1.
GCF(3698,3705) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3698
2 | 3698 |
43 | 1849 |
43 | 43 |
1 |
Prime factors of 3698 are 2,43. Prime factorization of 3698 in exponential form is:
3698 = 21×432
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
∴ So by taking common prime factors GCF of 3698 and 3705 is 1
Factors of 3698
List of positive integer factors of 3698 that divides 3698 without a remainder.
1,2,43,86,1849,3698
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 3698 and 3705. The biggest common factor number is the GCF number.
So the greatest common factor 3698 and 3705 is 1.
Also check out the Least Common Multiple of 3698 and 3705
(i) The GCF of 3698 and 3705 is associative
GCF of 3698 and 3705 = GCF of 3705 and 3698
1. What is the GCF of 3698 and 3705?
Answer: GCF of 3698 and 3705 is 1.
2. What are the Factors of 3698?
Answer: Factors of 3698 are 1, 2, 43, 86, 1849, 3698. There are 6 integers that are factors of 3698. The greatest factor of 3698 is 3698.
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 3698 and 3705?
Answer:
Greatest Common Factor of 3698 and 3705 = 1
Step 1: Find the prime factorization of 3698
3698 = 2 x 43 x 43
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 3698 and 3705 is 1