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 3585, 3590 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3585 and 3590 is 5.
GCF(3585,3590) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3585
3 | 3585 |
5 | 1195 |
239 | 239 |
1 |
Prime factors of 3585 are 3,5,239. Prime factorization of 3585 in exponential form is:
3585 = 31×51×2391
Prime Factorization of 3590
2 | 3590 |
5 | 1795 |
359 | 359 |
1 |
Prime factors of 3590 are 2,5,359. Prime factorization of 3590 in exponential form is:
3590 = 21×51×3591
∴ So by taking common prime factors GCF of 3585 and 3590 is 5
Factors of 3585
List of positive integer factors of 3585 that divides 3585 without a remainder.
1,3,5,15,239,717,1195,3585
Factors of 3590
List of positive integer factors of 3590 that divides 3590 without a remainder.
1,2,5,10,359,718,1795,3590
Greatest Common Factor
We found the factors and prime factorization of 3585 and 3590. The biggest common factor number is the GCF number.
So the greatest common factor 3585 and 3590 is 5.
Also check out the Least Common Multiple of 3585 and 3590
(i) The GCF of 3585 and 3590 is associative
GCF of 3585 and 3590 = GCF of 3590 and 3585
1. What is the GCF of 3585 and 3590?
Answer: GCF of 3585 and 3590 is 5.
2. What are the Factors of 3585?
Answer: Factors of 3585 are 1, 3, 5, 15, 239, 717, 1195, 3585. There are 8 integers that are factors of 3585. The greatest factor of 3585 is 3585.
3. What are the Factors of 3590?
Answer: Factors of 3590 are 1, 2, 5, 10, 359, 718, 1795, 3590. There are 8 integers that are factors of 3590. The greatest factor of 3590 is 3590.
4. How to Find the GCF of 3585 and 3590?
Answer:
Greatest Common Factor of 3585 and 3590 = 5
Step 1: Find the prime factorization of 3585
3585 = 3 x 5 x 239
Step 2: Find the prime factorization of 3590
3590 = 2 x 5 x 359
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 3585 and 3590 is 5