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 9568, 9575 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9568 and 9575 is 1.
GCF(9568,9575) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9568
2 | 9568 |
2 | 4784 |
2 | 2392 |
2 | 1196 |
2 | 598 |
13 | 299 |
23 | 23 |
1 |
Prime factors of 9568 are 2,13,23. Prime factorization of 9568 in exponential form is:
9568 = 25×131×231
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
∴ So by taking common prime factors GCF of 9568 and 9575 is 1
Factors of 9568
List of positive integer factors of 9568 that divides 9568 without a remainder.
1,2,4,8,13,16,23,26,32,46,52,92,104,184,208,299,368,416,598,736,1196,2392,4784,9568
Factors of 9575
List of positive integer factors of 9575 that divides 9575 without a remainder.
1,5,25,383,1915,9575
Greatest Common Factor
We found the factors and prime factorization of 9568 and 9575. The biggest common factor number is the GCF number.
So the greatest common factor 9568 and 9575 is 1.
Also check out the Least Common Multiple of 9568 and 9575
(i) The GCF of 9568 and 9575 is associative
GCF of 9568 and 9575 = GCF of 9575 and 9568
1. What is the GCF of 9568 and 9575?
Answer: GCF of 9568 and 9575 is 1.
2. What are the Factors of 9568?
Answer: Factors of 9568 are 1, 2, 4, 8, 13, 16, 23, 26, 32, 46, 52, 92, 104, 184, 208, 299, 368, 416, 598, 736, 1196, 2392, 4784, 9568. There are 24 integers that are factors of 9568. The greatest factor of 9568 is 9568.
3. 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.
4. How to Find the GCF of 9568 and 9575?
Answer:
Greatest Common Factor of 9568 and 9575 = 1
Step 1: Find the prime factorization of 9568
9568 = 2 x 2 x 2 x 2 x 2 x 13 x 23
Step 2: Find the prime factorization of 9575
9575 = 5 x 5 x 383
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 9568 and 9575 is 1