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let the greatest prime number to divide the sum be x.
the sum =[(3x3x3x3)+(3x3x3x3x3)+(3x3x3x3x3x3)+(3x3x3x3x3x3x3)]
=[81+243+729+2187]
=3240
Process to find the greatest prime number to divide 3240
Since 2 divides 3240 but 2 is a prime number we use 20 instead.
Thus, x= 3240/20
or 324/2
or x= 162
therefore the answer is 162.
Step-by-step explanation:
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