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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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BackPacker99
BackPacker99 BackPacker99
  • 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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