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 8571, 8579 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8571 and 8579 is 1.
GCF(8571,8579) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8571
3 | 8571 |
2857 | 2857 |
1 |
Prime factors of 8571 are 3,2857. Prime factorization of 8571 in exponential form is:
8571 = 31×28571
Prime Factorization of 8579
23 | 8579 |
373 | 373 |
1 |
Prime factors of 8579 are 23,373. Prime factorization of 8579 in exponential form is:
8579 = 231×3731
∴ So by taking common prime factors GCF of 8571 and 8579 is 1
Factors of 8571
List of positive integer factors of 8571 that divides 8571 without a remainder.
1,3,2857,8571
Factors of 8579
List of positive integer factors of 8579 that divides 8579 without a remainder.
1,23,373,8579
Greatest Common Factor
We found the factors and prime factorization of 8571 and 8579. The biggest common factor number is the GCF number.
So the greatest common factor 8571 and 8579 is 1.
Also check out the Least Common Multiple of 8571 and 8579
(i) The GCF of 8571 and 8579 is associative
GCF of 8571 and 8579 = GCF of 8579 and 8571
1. What is the GCF of 8571 and 8579?
Answer: GCF of 8571 and 8579 is 1.
2. What are the Factors of 8571?
Answer: Factors of 8571 are 1, 3, 2857, 8571. There are 4 integers that are factors of 8571. The greatest factor of 8571 is 8571.
3. What are the Factors of 8579?
Answer: Factors of 8579 are 1, 23, 373, 8579. There are 4 integers that are factors of 8579. The greatest factor of 8579 is 8579.
4. How to Find the GCF of 8571 and 8579?
Answer:
Greatest Common Factor of 8571 and 8579 = 1
Step 1: Find the prime factorization of 8571
8571 = 3 x 2857
Step 2: Find the prime factorization of 8579
8579 = 23 x 373
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 8571 and 8579 is 1