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 4590, 4593 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4590 and 4593 is 3.
GCF(4590,4593) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4590
2 | 4590 |
3 | 2295 |
3 | 765 |
3 | 255 |
5 | 85 |
17 | 17 |
1 |
Prime factors of 4590 are 2,3,5,17. Prime factorization of 4590 in exponential form is:
4590 = 21×33×51×171
Prime Factorization of 4593
3 | 4593 |
1531 | 1531 |
1 |
Prime factors of 4593 are 3,1531. Prime factorization of 4593 in exponential form is:
4593 = 31×15311
∴ So by taking common prime factors GCF of 4590 and 4593 is 3
Factors of 4590
List of positive integer factors of 4590 that divides 4590 without a remainder.
1,2,3,5,6,9,10,15,17,18,27,30,34,45,51,54,85,90,102,135,153,170,255,270,306,459,510,765,918,1530,2295,4590
Factors of 4593
List of positive integer factors of 4593 that divides 4593 without a remainder.
1,3,1531,4593
Greatest Common Factor
We found the factors and prime factorization of 4590 and 4593. The biggest common factor number is the GCF number.
So the greatest common factor 4590 and 4593 is 3.
Also check out the Least Common Multiple of 4590 and 4593
(i) The GCF of 4590 and 4593 is associative
GCF of 4590 and 4593 = GCF of 4593 and 4590
1. What is the GCF of 4590 and 4593?
Answer: GCF of 4590 and 4593 is 3.
2. What are the Factors of 4590?
Answer: Factors of 4590 are 1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 27, 30, 34, 45, 51, 54, 85, 90, 102, 135, 153, 170, 255, 270, 306, 459, 510, 765, 918, 1530, 2295, 4590. There are 32 integers that are factors of 4590. The greatest factor of 4590 is 4590.
3. What are the Factors of 4593?
Answer: Factors of 4593 are 1, 3, 1531, 4593. There are 4 integers that are factors of 4593. The greatest factor of 4593 is 4593.
4. How to Find the GCF of 4590 and 4593?
Answer:
Greatest Common Factor of 4590 and 4593 = 3
Step 1: Find the prime factorization of 4590
4590 = 2 x 3 x 3 x 3 x 5 x 17
Step 2: Find the prime factorization of 4593
4593 = 3 x 1531
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 4590 and 4593 is 3