Answer
The greatest common divisor of the two numbers is $30$.
Work Step by Step
Factor each number to obtain:
$150=5(30)=5(5)(6)=5(5)(2)(3)
\\480=16(30)=2(2)(2)(2)(5)(6)=2(2)(2)(2)(5)(2)(3)$
Thus, the greatest common divisor of the two numbers is $2(3)(5)=30$.