Question

The greatest common factor of −27x2yz5 + 15x3z3

Answer 1

We have that
−27x2yz5 + 15x3z3

we know that
27-------------> 3³
15-------------> 3*5
z^5-----------> z² * z³
x³------------> x² * x

substituting in the original expression

−27x2yz5 + 15x3z3---------->[-3³*x²*y*z³*z²]+[3*5*x²*x*z³]

[-3³*x²*y*z³*z²]+[3*5*x²*x*z³]-------> [3*x² *z³]*{[-3² *y*z²]+[5*x]}

the greatest common factor is [3*x² *z³]