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 570, 575 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 570 and 575 is 5.
GCF(570,575) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 570
2 | 570 |
3 | 285 |
5 | 95 |
19 | 19 |
1 |
Prime factors of 570 are 2,3,5,19. Prime factorization of 570 in exponential form is:
570 = 21×31×51×191
Prime Factorization of 575
5 | 575 |
5 | 115 |
23 | 23 |
1 |
Prime factors of 575 are 5,23. Prime factorization of 575 in exponential form is:
575 = 52×231
∴ So by taking common prime factors GCF of 570 and 575 is 5
Factors of 570
List of positive integer factors of 570 that divides 570 without a remainder.
1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570
Factors of 575
List of positive integer factors of 575 that divides 575 without a remainder.
1,5,23,25,115,575
Greatest Common Factor
We found the factors and prime factorization of 570 and 575. The biggest common factor number is the GCF number.
So the greatest common factor 570 and 575 is 5.
Also check out the Least Common Multiple of 570 and 575
(i) The GCF of 570 and 575 is associative
GCF of 570 and 575 = GCF of 575 and 570
1. What is the GCF of 570 and 575?
Answer: GCF of 570 and 575 is 5.
2. What are the Factors of 570?
Answer: Factors of 570 are 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570. There are 16 integers that are factors of 570. The greatest factor of 570 is 570.
3. What are the Factors of 575?
Answer: Factors of 575 are 1, 5, 23, 25, 115, 575. There are 6 integers that are factors of 575. The greatest factor of 575 is 575.
4. How to Find the GCF of 570 and 575?
Answer:
Greatest Common Factor of 570 and 575 = 5
Step 1: Find the prime factorization of 570
570 = 2 x 3 x 5 x 19
Step 2: Find the prime factorization of 575
575 = 5 x 5 x 23
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 570 and 575 is 5