Homework Statement
Let a,b,c be integers. If (b,c)=1, then (a,bc)=(a,b)(a,c)
Homework Equations
This is difficult to answer because some theorems that we haven't proven yet, we can't use.
The Attempt at a Solution
Let g=(a,b) and h=(a,c), g and h are integers.
That means g|a and g|b...