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 9571, 9578 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9571 and 9578 is 1.
GCF(9571,9578) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9571
17 | 9571 |
563 | 563 |
1 |
Prime factors of 9571 are 17,563. Prime factorization of 9571 in exponential form is:
9571 = 171×5631
Prime Factorization of 9578
2 | 9578 |
4789 | 4789 |
1 |
Prime factors of 9578 are 2,4789. Prime factorization of 9578 in exponential form is:
9578 = 21×47891
∴ So by taking common prime factors GCF of 9571 and 9578 is 1
Factors of 9571
List of positive integer factors of 9571 that divides 9571 without a remainder.
1,17,563,9571
Factors of 9578
List of positive integer factors of 9578 that divides 9578 without a remainder.
1,2,4789,9578
Greatest Common Factor
We found the factors and prime factorization of 9571 and 9578. The biggest common factor number is the GCF number.
So the greatest common factor 9571 and 9578 is 1.
Also check out the Least Common Multiple of 9571 and 9578
(i) The GCF of 9571 and 9578 is associative
GCF of 9571 and 9578 = GCF of 9578 and 9571
1. What is the GCF of 9571 and 9578?
Answer: GCF of 9571 and 9578 is 1.
2. What are the Factors of 9571?
Answer: Factors of 9571 are 1, 17, 563, 9571. There are 4 integers that are factors of 9571. The greatest factor of 9571 is 9571.
3. What are the Factors of 9578?
Answer: Factors of 9578 are 1, 2, 4789, 9578. There are 4 integers that are factors of 9578. The greatest factor of 9578 is 9578.
4. How to Find the GCF of 9571 and 9578?
Answer:
Greatest Common Factor of 9571 and 9578 = 1
Step 1: Find the prime factorization of 9571
9571 = 17 x 563
Step 2: Find the prime factorization of 9578
9578 = 2 x 4789
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 9571 and 9578 is 1