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, 9580 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9575 and 9580 is 5.
GCF(9575,9580) = 5
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 9580
2 | 9580 |
2 | 4790 |
5 | 2395 |
479 | 479 |
1 |
Prime factors of 9580 are 2,5,479. Prime factorization of 9580 in exponential form is:
9580 = 22×51×4791
∴ So by taking common prime factors GCF of 9575 and 9580 is 5
Factors of 9575
List of positive integer factors of 9575 that divides 9575 without a remainder.
1,5,25,383,1915,9575
Factors of 9580
List of positive integer factors of 9580 that divides 9580 without a remainder.
1,2,4,5,10,20,479,958,1916,2395,4790,9580
Greatest Common Factor
We found the factors and prime factorization of 9575 and 9580. The biggest common factor number is the GCF number.
So the greatest common factor 9575 and 9580 is 5.
Also check out the Least Common Multiple of 9575 and 9580
(i) The GCF of 9575 and 9580 is associative
GCF of 9575 and 9580 = GCF of 9580 and 9575
1. What is the GCF of 9575 and 9580?
Answer: GCF of 9575 and 9580 is 5.
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 9580?
Answer: Factors of 9580 are 1, 2, 4, 5, 10, 20, 479, 958, 1916, 2395, 4790, 9580. There are 12 integers that are factors of 9580. The greatest factor of 9580 is 9580.
4. How to Find the GCF of 9575 and 9580?
Answer:
Greatest Common Factor of 9575 and 9580 = 5
Step 1: Find the prime factorization of 9575
9575 = 5 x 5 x 383
Step 2: Find the prime factorization of 9580
9580 = 2 x 2 x 5 x 479
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 9575 and 9580 is 5