Want to know what the GCF of 200 and 204 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 200 and 204. Otherwise, you can utilise our handy GCF Calculator tool to quickly get the result.
In this method, we have to list the factors of 200 and 204 separately and then select the highest number that appears in both lists. This will be your greatest common factor.
The factors of 200 are 1 , 2 , 4 , 5 , 8 , 10 , 20 , 25 , 40 , 50 , 100 , and 200
The factors of 204 are 1 , 2 , 3 , 4 , 6 , 12 , 17 , 34 , 51 , 68 , 102 , and 204
As you can see from the aforementioned lists, the largest number that is present in both lists is 4. Therefore, we can determine that the GCF of 200 and 204 is 4.
This is prime factorization. Essentially, you have to divide both 200 and 204 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.
2 | 200, 204 |
2 | 100, 102 |
50, 51 |
From the picture, we can see that 50 and 51 cannot be divided by the same number again. So, all we have to do is now multiply the prime numbers on the left.
2 x 2 = 4
Hence, the GCF of 200 and 204 is 4.
Given numbers are 200 and 204
To find the greatest common factor of 200 and 204
The GCF of 200 and 204 is 4.
1. What are the LCM and GCF of 200 and 204?
The LCM and GCF of 200 and 204 are 10200 and 4.
2. How to get the GCF of 200 and 204?
The GCF of 200 and 204 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 200, 204?
The 2 different methods to find the greatest common factor of 200 and 204 are prime factorization and factors of both numbers.