Want to know what the GCF of 1000 and 1005 is? We will not only show you the answer but will also teach you two different methods through which you can easily find the greatest common factor of 1000 and 1005. Otherwise, you can utilise our handy GCF Calculator tool to quickly get the result.
In this method, we have to list the factors of 1000 and 1005 separately and then select the highest number that appears in both lists. This will be your greatest common factor.
The factors of 1000 are 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 50 , 100 , 125 , 200 , 250 , 500 , and 1000
The factors of 1005 are 1 , 3 , 5 , 15 , 67 , 201 , 335 , and 1005
As you can see from the aforementioned lists, the largest number that is present in both lists is 5. Therefore, we can determine that the GCF of 1000 and 1005 is 5.
This is prime factorization. Essentially, you have to divide both 1000 and 1005 with the same prime number and keep going until the numbers can no longer be divided by the same prime number. At that point, you must stop the process and multiply the prime numbers on the left side. The result will be the greatest common factor.
5 | 1000, 1005 |
200, 201 |
From the picture, we can see that 200 and 201 cannot be divided by the same number again. So, all we have to do is now multiply the prime numbers on the left.
5 = 5
Hence, the GCF of 1000 and 1005 is 5.
Given numbers are 1000 and 1005
To find the greatest common factor of 1000 and 1005
The GCF of 1000 and 1005 is 5.
1. What are the LCM and GCF of 1000 and 1005?
The LCM and GCF of 1000 and 1005 are 201000 and 5.
2. How to get the GCF of 1000 and 1005?
The GCF of 1000 and 1005 can be calculated by finding the factors of both numbers and identifying the highest common factor in both.
3. What are the Methods to Find GCF of 1000, 1005?
The 2 different methods to find the greatest common factor of 1000 and 1005 are prime factorization and factors of both numbers.