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 1599, 1600 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1599 and 1600 is 1.
GCF(1599,1600) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1599
3 | 1599 |
13 | 533 |
41 | 41 |
1 |
Prime factors of 1599 are 3,13,41. Prime factorization of 1599 in exponential form is:
1599 = 31×131×411
Prime Factorization of 1600
2 | 1600 |
2 | 800 |
2 | 400 |
2 | 200 |
2 | 100 |
2 | 50 |
5 | 25 |
5 | 5 |
1 |
Prime factors of 1600 are 2,5. Prime factorization of 1600 in exponential form is:
1600 = 26×52
∴ So by taking common prime factors GCF of 1599 and 1600 is 1
Factors of 1599
List of positive integer factors of 1599 that divides 1599 without a remainder.
1,3,13,39,41,123,533,1599
Factors of 1600
List of positive integer factors of 1600 that divides 1600 without a remainder.
1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,160,200,320,400,800,1600
Greatest Common Factor
We found the factors and prime factorization of 1599 and 1600. The biggest common factor number is the GCF number.
So the greatest common factor 1599 and 1600 is 1.
Also check out the Least Common Multiple of 1599 and 1600
(i) The GCF of 1599 and 1600 is associative
GCF of 1599 and 1600 = GCF of 1600 and 1599
1. What is the GCF of 1599 and 1600?
Answer: GCF of 1599 and 1600 is 1.
2. What are the Factors of 1599?
Answer: Factors of 1599 are 1, 3, 13, 39, 41, 123, 533, 1599. There are 8 integers that are factors of 1599. The greatest factor of 1599 is 1599.
3. What are the Factors of 1600?
Answer: Factors of 1600 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 160, 200, 320, 400, 800, 1600. There are 21 integers that are factors of 1600. The greatest factor of 1600 is 1600.
4. How to Find the GCF of 1599 and 1600?
Answer:
Greatest Common Factor of 1599 and 1600 = 1
Step 1: Find the prime factorization of 1599
1599 = 3 x 13 x 41
Step 2: Find the prime factorization of 1600
1600 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5
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 1599 and 1600 is 1