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 5595, 5600 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5595 and 5600 is 5.
GCF(5595,5600) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5595
3 | 5595 |
5 | 1865 |
373 | 373 |
1 |
Prime factors of 5595 are 3,5,373. Prime factorization of 5595 in exponential form is:
5595 = 31×51×3731
Prime Factorization of 5600
2 | 5600 |
2 | 2800 |
2 | 1400 |
2 | 700 |
2 | 350 |
5 | 175 |
5 | 35 |
7 | 7 |
1 |
Prime factors of 5600 are 2,5,7. Prime factorization of 5600 in exponential form is:
5600 = 25×52×71
∴ So by taking common prime factors GCF of 5595 and 5600 is 5
Factors of 5595
List of positive integer factors of 5595 that divides 5595 without a remainder.
1,3,5,15,373,1119,1865,5595
Factors of 5600
List of positive integer factors of 5600 that divides 5600 without a remainder.
1,2,4,5,7,8,10,14,16,20,25,28,32,35,40,50,56,70,80,100,112,140,160,175,200,224,280,350,400,560,700,800,1120,1400,2800,5600
Greatest Common Factor
We found the factors and prime factorization of 5595 and 5600. The biggest common factor number is the GCF number.
So the greatest common factor 5595 and 5600 is 5.
Also check out the Least Common Multiple of 5595 and 5600
(i) The GCF of 5595 and 5600 is associative
GCF of 5595 and 5600 = GCF of 5600 and 5595
1. What is the GCF of 5595 and 5600?
Answer: GCF of 5595 and 5600 is 5.
2. What are the Factors of 5595?
Answer: Factors of 5595 are 1, 3, 5, 15, 373, 1119, 1865, 5595. There are 8 integers that are factors of 5595. The greatest factor of 5595 is 5595.
3. What are the Factors of 5600?
Answer: Factors of 5600 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 32, 35, 40, 50, 56, 70, 80, 100, 112, 140, 160, 175, 200, 224, 280, 350, 400, 560, 700, 800, 1120, 1400, 2800, 5600. There are 36 integers that are factors of 5600. The greatest factor of 5600 is 5600.
4. How to Find the GCF of 5595 and 5600?
Answer:
Greatest Common Factor of 5595 and 5600 = 5
Step 1: Find the prime factorization of 5595
5595 = 3 x 5 x 373
Step 2: Find the prime factorization of 5600
5600 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 7
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 5595 and 5600 is 5