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 4573, 4575 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4573 and 4575 is 1.
GCF(4573,4575) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4573
17 | 4573 |
269 | 269 |
1 |
Prime factors of 4573 are 17,269. Prime factorization of 4573 in exponential form is:
4573 = 171×2691
Prime Factorization of 4575
3 | 4575 |
5 | 1525 |
5 | 305 |
61 | 61 |
1 |
Prime factors of 4575 are 3,5,61. Prime factorization of 4575 in exponential form is:
4575 = 31×52×611
∴ So by taking common prime factors GCF of 4573 and 4575 is 1
Factors of 4573
List of positive integer factors of 4573 that divides 4573 without a remainder.
1,17,269,4573
Factors of 4575
List of positive integer factors of 4575 that divides 4575 without a remainder.
1,3,5,15,25,61,75,183,305,915,1525,4575
Greatest Common Factor
We found the factors and prime factorization of 4573 and 4575. The biggest common factor number is the GCF number.
So the greatest common factor 4573 and 4575 is 1.
Also check out the Least Common Multiple of 4573 and 4575
(i) The GCF of 4573 and 4575 is associative
GCF of 4573 and 4575 = GCF of 4575 and 4573
1. What is the GCF of 4573 and 4575?
Answer: GCF of 4573 and 4575 is 1.
2. What are the Factors of 4573?
Answer: Factors of 4573 are 1, 17, 269, 4573. There are 4 integers that are factors of 4573. The greatest factor of 4573 is 4573.
3. What are the Factors of 4575?
Answer: Factors of 4575 are 1, 3, 5, 15, 25, 61, 75, 183, 305, 915, 1525, 4575. There are 12 integers that are factors of 4575. The greatest factor of 4575 is 4575.
4. How to Find the GCF of 4573 and 4575?
Answer:
Greatest Common Factor of 4573 and 4575 = 1
Step 1: Find the prime factorization of 4573
4573 = 17 x 269
Step 2: Find the prime factorization of 4575
4575 = 3 x 5 x 5 x 61
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 4573 and 4575 is 1