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 567, 571 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 567 and 571 is 1.
GCF(567,571) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 567
3 | 567 |
3 | 189 |
3 | 63 |
3 | 21 |
7 | 7 |
1 |
Prime factors of 567 are 3,7. Prime factorization of 567 in exponential form is:
567 = 34×71
Prime Factorization of 571
571 | 571 |
1 |
Prime factors of 571 are 571. Prime factorization of 571 in exponential form is:
571 = 5711
∴ So by taking common prime factors GCF of 567 and 571 is 1
Factors of 567
List of positive integer factors of 567 that divides 567 without a remainder.
1,3,7,9,21,27,63,81,189,567
Factors of 571
List of positive integer factors of 571 that divides 571 without a remainder.
1,571
Greatest Common Factor
We found the factors and prime factorization of 567 and 571. The biggest common factor number is the GCF number.
So the greatest common factor 567 and 571 is 1.
Also check out the Least Common Multiple of 567 and 571
(i) The GCF of 567 and 571 is associative
GCF of 567 and 571 = GCF of 571 and 567
1. What is the GCF of 567 and 571?
Answer: GCF of 567 and 571 is 1.
2. What are the Factors of 567?
Answer: Factors of 567 are 1, 3, 7, 9, 21, 27, 63, 81, 189, 567. There are 10 integers that are factors of 567. The greatest factor of 567 is 567.
3. What are the Factors of 571?
Answer: Factors of 571 are 1, 571. There are 2 integers that are factors of 571. The greatest factor of 571 is 571.
4. How to Find the GCF of 567 and 571?
Answer:
Greatest Common Factor of 567 and 571 = 1
Step 1: Find the prime factorization of 567
567 = 3 x 3 x 3 x 3 x 7
Step 2: Find the prime factorization of 571
571 = 571
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 567 and 571 is 1