Greatest Prime Factor

$2^{34} - 2^{28}$
= $2^{28} ( 2^6 - 1)$
= $2^{28} ( 2^3 + 1)( 2^3 - 1)$
= $2^{28} ( 8 + 1)( 8 - 1)$
= $2^{28} ( 9 )( 7 )$
= $2^{28}(3)(3)(7)$

As 7 is the largest prime here, The ans is 7 .

$2^{34} - 2^{28} = 2^{28} ( 2^6 - 1) = 2^{28} ( 63) = 2^{28} ( 7)(9) = 2^{28} ( 3^2)(7)$

The largest prime factor is 7.

2^34- 2^28 =2^28(2^6-1) =2^28 63 =2^28 7*9

4^17-2^28=4^17-2^2×14=4^17-4^14=4^14(4^3-1)=4^14(63)=4^14×9×7 here 7is the largest prime factor