No
As a product of its prime factors: 5*5*7 = 175
5 is the smallest prime factor of 175.
5 and 7
7 is.
7
5 x 5 x 7 = 175
They are: 5*5*7 = 175
175 = 5 x 5 x 7
The only common factor of 11 and 175 is 1. 11 is a prime number, the only two factors are 1 and 11. Every single number has a factor of 1. 11 does not divide into 175, so the only common factor is 1.
5^2 7^1
Its prime factor is 2 and as a product of its prime factor 2 to the power of 7 = 128