Nirupam04 wrote:hi, Kindly help to solve this question.
what is the greatest prime factor of
4^17 - 2^28
(4 to the power 7)- (2 to the power 28)
A> 2
B> 3
C> 5
D> 7
E> 11
Rephrase the expression in terms of a COMMON BASE:
(2²)¹� - 2²�
2³� - 2²�.
Factor out the GREATEST COMMON FACTOR and SIMPLIFY:
2²�(2� - 1)
2²�(63).
PRIME-FACTORIZE:
2²�(63) = 2²� * 3² *
7.
The greatest prime factor is the value in red.
The correct answer is
D.
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