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23-04-2017
Mathematics

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For all positive integers x ,what is the greatest common factor of the numbers 256x and 144x

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23-04-2017

First, let's factor both of these numbers.

256x:

[tex] 2^{8} * x [/tex]

144x:

[tex] 3^{2} * 2^{4} * x [/tex]

Both of these numbers contain [tex] 2^{4} * x [/tex], so that would be the greatest common factor. This could also be written as 16x.

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