Question

Beth used the distributive property to rewrite the expression, 48 + 32, as 8(6 + 4).Beth claims she factored out the greatest common factor of 48 and 32. Beth is incorrect, because is the greatest common factor of .

Answer 1

Given:

Beth used the distributive property to rewrite the expression, 48 + 32, as 8(6 + 4). Beth claims she factored out the greatest common factor of 48 and 32.

To find:

The greatest common factor of 48 and 32.

Solution:

First factorise both the numbers:

`\begin{gathered} 48=2*2*2*2*3 \\ 32=2*2*2*2*2 \end{gathered}`

From the above factorisation, we can say that greater common factor of 48 and 32 is:

`2*2*2*2=16`

Thus, the greatest common factor of 48 and 32 is 16.