Help!!! Math question please help

Question

Find the greasers common factor of these two expressions

16u^7v^8w^2 and 28u^3v^5

Answer 1

An easy way to visualize this problem is to write out each expression in expanded form, like this:

2x2x2x2xUxUxUxUxUxUxUxVxVxVxVxVxVxVxVxWxW

2x2x7xUxUxUxVxVxVxVxV

Now just circle the common parts, that is, the factors that exist in BOTH expressions:

Each expanded version has two 2's, three U's, and five V's.

Note that I didn't include the seven because it's only in the second expression, so it's not common to the two. Note also that the answer will contain no w's because they don't exist in the second expression and therefore are not common.

Now just translate that list back into a single expression: 4u^3v^5

Best wishes!