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 5585, 5592 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5585 and 5592 is 1.
GCF(5585,5592) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5585
5 | 5585 |
1117 | 1117 |
1 |
Prime factors of 5585 are 5,1117. Prime factorization of 5585 in exponential form is:
5585 = 51×11171
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
∴ So by taking common prime factors GCF of 5585 and 5592 is 1
Factors of 5585
List of positive integer factors of 5585 that divides 5585 without a remainder.
1,5,1117,5585
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
Greatest Common Factor
We found the factors and prime factorization of 5585 and 5592. The biggest common factor number is the GCF number.
So the greatest common factor 5585 and 5592 is 1.
Also check out the Least Common Multiple of 5585 and 5592
(i) The GCF of 5585 and 5592 is associative
GCF of 5585 and 5592 = GCF of 5592 and 5585
1. What is the GCF of 5585 and 5592?
Answer: GCF of 5585 and 5592 is 1.
2. What are the Factors of 5585?
Answer: Factors of 5585 are 1, 5, 1117, 5585. There are 4 integers that are factors of 5585. The greatest factor of 5585 is 5585.
3. 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.
4. How to Find the GCF of 5585 and 5592?
Answer:
Greatest Common Factor of 5585 and 5592 = 1
Step 1: Find the prime factorization of 5585
5585 = 5 x 1117
Step 2: Find the prime factorization of 5592
5592 = 2 x 2 x 2 x 3 x 233
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 5585 and 5592 is 1