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 9575, 9582 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9575 and 9582 is 1.
GCF(9575,9582) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9575
5 | 9575 |
5 | 1915 |
383 | 383 |
1 |
Prime factors of 9575 are 5,383. Prime factorization of 9575 in exponential form is:
9575 = 52×3831
Prime Factorization of 9582
2 | 9582 |
3 | 4791 |
1597 | 1597 |
1 |
Prime factors of 9582 are 2,3,1597. Prime factorization of 9582 in exponential form is:
9582 = 21×31×15971
∴ So by taking common prime factors GCF of 9575 and 9582 is 1
Factors of 9575
List of positive integer factors of 9575 that divides 9575 without a remainder.
1,5,25,383,1915,9575
Factors of 9582
List of positive integer factors of 9582 that divides 9582 without a remainder.
1,2,3,6,1597,3194,4791,9582
Greatest Common Factor
We found the factors and prime factorization of 9575 and 9582. The biggest common factor number is the GCF number.
So the greatest common factor 9575 and 9582 is 1.
Also check out the Least Common Multiple of 9575 and 9582
(i) The GCF of 9575 and 9582 is associative
GCF of 9575 and 9582 = GCF of 9582 and 9575
1. What is the GCF of 9575 and 9582?
Answer: GCF of 9575 and 9582 is 1.
2. What are the Factors of 9575?
Answer: Factors of 9575 are 1, 5, 25, 383, 1915, 9575. There are 6 integers that are factors of 9575. The greatest factor of 9575 is 9575.
3. What are the Factors of 9582?
Answer: Factors of 9582 are 1, 2, 3, 6, 1597, 3194, 4791, 9582. There are 8 integers that are factors of 9582. The greatest factor of 9582 is 9582.
4. How to Find the GCF of 9575 and 9582?
Answer:
Greatest Common Factor of 9575 and 9582 = 1
Step 1: Find the prime factorization of 9575
9575 = 5 x 5 x 383
Step 2: Find the prime factorization of 9582
9582 = 2 x 3 x 1597
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 9575 and 9582 is 1