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 9592, 9599 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9592 and 9599 is 1.
GCF(9592,9599) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9592
2 | 9592 |
2 | 4796 |
2 | 2398 |
11 | 1199 |
109 | 109 |
1 |
Prime factors of 9592 are 2,11,109. Prime factorization of 9592 in exponential form is:
9592 = 23×111×1091
Prime Factorization of 9599
29 | 9599 |
331 | 331 |
1 |
Prime factors of 9599 are 29,331. Prime factorization of 9599 in exponential form is:
9599 = 291×3311
∴ So by taking common prime factors GCF of 9592 and 9599 is 1
Factors of 9592
List of positive integer factors of 9592 that divides 9592 without a remainder.
1,2,4,8,11,22,44,88,109,218,436,872,1199,2398,4796,9592
Factors of 9599
List of positive integer factors of 9599 that divides 9599 without a remainder.
1,29,331,9599
Greatest Common Factor
We found the factors and prime factorization of 9592 and 9599. The biggest common factor number is the GCF number.
So the greatest common factor 9592 and 9599 is 1.
Also check out the Least Common Multiple of 9592 and 9599
(i) The GCF of 9592 and 9599 is associative
GCF of 9592 and 9599 = GCF of 9599 and 9592
1. What is the GCF of 9592 and 9599?
Answer: GCF of 9592 and 9599 is 1.
2. What are the Factors of 9592?
Answer: Factors of 9592 are 1, 2, 4, 8, 11, 22, 44, 88, 109, 218, 436, 872, 1199, 2398, 4796, 9592. There are 16 integers that are factors of 9592. The greatest factor of 9592 is 9592.
3. What are the Factors of 9599?
Answer: Factors of 9599 are 1, 29, 331, 9599. There are 4 integers that are factors of 9599. The greatest factor of 9599 is 9599.
4. How to Find the GCF of 9592 and 9599?
Answer:
Greatest Common Factor of 9592 and 9599 = 1
Step 1: Find the prime factorization of 9592
9592 = 2 x 2 x 2 x 11 x 109
Step 2: Find the prime factorization of 9599
9599 = 29 x 331
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 9592 and 9599 is 1