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 1573, 1575 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1573 and 1575 is 1.
GCF(1573,1575) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1573
11 | 1573 |
11 | 143 |
13 | 13 |
1 |
Prime factors of 1573 are 11,13. Prime factorization of 1573 in exponential form is:
1573 = 112×131
Prime Factorization of 1575
3 | 1575 |
3 | 525 |
5 | 175 |
5 | 35 |
7 | 7 |
1 |
Prime factors of 1575 are 3,5,7. Prime factorization of 1575 in exponential form is:
1575 = 32×52×71
∴ So by taking common prime factors GCF of 1573 and 1575 is 1
Factors of 1573
List of positive integer factors of 1573 that divides 1573 without a remainder.
1,11,13,121,143,1573
Factors of 1575
List of positive integer factors of 1575 that divides 1575 without a remainder.
1,3,5,7,9,15,21,25,35,45,63,75,105,175,225,315,525,1575
Greatest Common Factor
We found the factors and prime factorization of 1573 and 1575. The biggest common factor number is the GCF number.
So the greatest common factor 1573 and 1575 is 1.
Also check out the Least Common Multiple of 1573 and 1575
(i) The GCF of 1573 and 1575 is associative
GCF of 1573 and 1575 = GCF of 1575 and 1573
1. What is the GCF of 1573 and 1575?
Answer: GCF of 1573 and 1575 is 1.
2. What are the Factors of 1573?
Answer: Factors of 1573 are 1, 11, 13, 121, 143, 1573. There are 6 integers that are factors of 1573. The greatest factor of 1573 is 1573.
3. What are the Factors of 1575?
Answer: Factors of 1575 are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 175, 225, 315, 525, 1575. There are 18 integers that are factors of 1575. The greatest factor of 1575 is 1575.
4. How to Find the GCF of 1573 and 1575?
Answer:
Greatest Common Factor of 1573 and 1575 = 1
Step 1: Find the prime factorization of 1573
1573 = 11 x 11 x 13
Step 2: Find the prime factorization of 1575
1575 = 3 x 3 x 5 x 5 x 7
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 1573 and 1575 is 1