Want to know what the GCF of 900 and 905 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 900 and 905. Otherwise, you can utilise our handy GCF Calculator tool to quickly get the result.
In this method, we have to list the factors of 900 and 905 separately and then select the highest number that appears in both lists. This will be your greatest common factor.
The factors of 900 are 1 , 2 , 3 , 4 , 5 , 6 , 9 , 10 , 12 , 15 , 18 , 20 , 25 , 30 , 36 , 45 , 50 , 60 , 75 , 90 , 100 , 150 , 180 , 225 , 300 , 450 , and 900
The factors of 905 are 1 , 5 , 181 , and 905
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 900 and 905 is 5.
This is prime factorization. Essentially, you have to divide both 900 and 905 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 | 900, 905 |
180, 181 |
From the picture, we can see that 180 and 181 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 900 and 905 is 5.
Given numbers are 900 and 905
To find the greatest common factor of 900 and 905
The GCF of 900 and 905 is 5.
1. What are the LCM and GCF of 900 and 905?
The LCM and GCF of 900 and 905 are 162900 and 5.
2. How to get the GCF of 900 and 905?
The GCF of 900 and 905 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 900, 905?
The 2 different methods to find the greatest common factor of 900 and 905 are prime factorization and factors of both numbers.