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 5592, 5599 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5592 and 5599 is 1.
GCF(5592,5599) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5592
2 | 5592 |
2 | 2796 |
2 | 1398 |
3 | 699 |
233 | 233 |
1 |
Prime factors of 5592 are 2,3,233. Prime factorization of 5592 in exponential form is:
5592 = 23×31×2331
Prime Factorization of 5599
11 | 5599 |
509 | 509 |
1 |
Prime factors of 5599 are 11,509. Prime factorization of 5599 in exponential form is:
5599 = 111×5091
∴ So by taking common prime factors GCF of 5592 and 5599 is 1
Factors of 5592
List of positive integer factors of 5592 that divides 5592 without a remainder.
1,2,3,4,6,8,12,24,233,466,699,932,1398,1864,2796,5592
Factors of 5599
List of positive integer factors of 5599 that divides 5599 without a remainder.
1,11,509,5599
Greatest Common Factor
We found the factors and prime factorization of 5592 and 5599. The biggest common factor number is the GCF number.
So the greatest common factor 5592 and 5599 is 1.
Also check out the Least Common Multiple of 5592 and 5599
(i) The GCF of 5592 and 5599 is associative
GCF of 5592 and 5599 = GCF of 5599 and 5592
1. What is the GCF of 5592 and 5599?
Answer: GCF of 5592 and 5599 is 1.
2. What are the Factors of 5592?
Answer: Factors of 5592 are 1, 2, 3, 4, 6, 8, 12, 24, 233, 466, 699, 932, 1398, 1864, 2796, 5592. There are 16 integers that are factors of 5592. The greatest factor of 5592 is 5592.
3. What are the Factors of 5599?
Answer: Factors of 5599 are 1, 11, 509, 5599. There are 4 integers that are factors of 5599. The greatest factor of 5599 is 5599.
4. How to Find the GCF of 5592 and 5599?
Answer:
Greatest Common Factor of 5592 and 5599 = 1
Step 1: Find the prime factorization of 5592
5592 = 2 x 2 x 2 x 3 x 233
Step 2: Find the prime factorization of 5599
5599 = 11 x 509
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 5592 and 5599 is 1