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 9591, 9595 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9591 and 9595 is 1.
GCF(9591,9595) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9591
3 | 9591 |
23 | 3197 |
139 | 139 |
1 |
Prime factors of 9591 are 3,23,139. Prime factorization of 9591 in exponential form is:
9591 = 31×231×1391
Prime Factorization of 9595
5 | 9595 |
19 | 1919 |
101 | 101 |
1 |
Prime factors of 9595 are 5,19,101. Prime factorization of 9595 in exponential form is:
9595 = 51×191×1011
∴ So by taking common prime factors GCF of 9591 and 9595 is 1
Factors of 9591
List of positive integer factors of 9591 that divides 9591 without a remainder.
1,3,23,69,139,417,3197,9591
Factors of 9595
List of positive integer factors of 9595 that divides 9595 without a remainder.
1,5,19,95,101,505,1919,9595
Greatest Common Factor
We found the factors and prime factorization of 9591 and 9595. The biggest common factor number is the GCF number.
So the greatest common factor 9591 and 9595 is 1.
Also check out the Least Common Multiple of 9591 and 9595
(i) The GCF of 9591 and 9595 is associative
GCF of 9591 and 9595 = GCF of 9595 and 9591
1. What is the GCF of 9591 and 9595?
Answer: GCF of 9591 and 9595 is 1.
2. What are the Factors of 9591?
Answer: Factors of 9591 are 1, 3, 23, 69, 139, 417, 3197, 9591. There are 8 integers that are factors of 9591. The greatest factor of 9591 is 9591.
3. What are the Factors of 9595?
Answer: Factors of 9595 are 1, 5, 19, 95, 101, 505, 1919, 9595. There are 8 integers that are factors of 9595. The greatest factor of 9595 is 9595.
4. How to Find the GCF of 9591 and 9595?
Answer:
Greatest Common Factor of 9591 and 9595 = 1
Step 1: Find the prime factorization of 9591
9591 = 3 x 23 x 139
Step 2: Find the prime factorization of 9595
9595 = 5 x 19 x 101
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 9591 and 9595 is 1