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 3665, 3670 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3665 and 3670 is 5.
GCF(3665,3670) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3665
5 | 3665 |
733 | 733 |
1 |
Prime factors of 3665 are 5,733. Prime factorization of 3665 in exponential form is:
3665 = 51×7331
Prime Factorization of 3670
2 | 3670 |
5 | 1835 |
367 | 367 |
1 |
Prime factors of 3670 are 2,5,367. Prime factorization of 3670 in exponential form is:
3670 = 21×51×3671
∴ So by taking common prime factors GCF of 3665 and 3670 is 5
Factors of 3665
List of positive integer factors of 3665 that divides 3665 without a remainder.
1,5,733,3665
Factors of 3670
List of positive integer factors of 3670 that divides 3670 without a remainder.
1,2,5,10,367,734,1835,3670
Greatest Common Factor
We found the factors and prime factorization of 3665 and 3670. The biggest common factor number is the GCF number.
So the greatest common factor 3665 and 3670 is 5.
Also check out the Least Common Multiple of 3665 and 3670
(i) The GCF of 3665 and 3670 is associative
GCF of 3665 and 3670 = GCF of 3670 and 3665
1. What is the GCF of 3665 and 3670?
Answer: GCF of 3665 and 3670 is 5.
2. What are the Factors of 3665?
Answer: Factors of 3665 are 1, 5, 733, 3665. There are 4 integers that are factors of 3665. The greatest factor of 3665 is 3665.
3. What are the Factors of 3670?
Answer: Factors of 3670 are 1, 2, 5, 10, 367, 734, 1835, 3670. There are 8 integers that are factors of 3670. The greatest factor of 3670 is 3670.
4. How to Find the GCF of 3665 and 3670?
Answer:
Greatest Common Factor of 3665 and 3670 = 5
Step 1: Find the prime factorization of 3665
3665 = 5 x 733
Step 2: Find the prime factorization of 3670
3670 = 2 x 5 x 367
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 3665 and 3670 is 5