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:
[tex]\begin{gathered} 48=2\times2\times2\times2\times3 \\ 32=2\times2\times2\times2\times2 \end{gathered}[/tex]From the above factorisation, we can say that greater common factor of 48 and 32 is:
[tex]2\times2\times2\times2=16[/tex]Thus, the greatest common factor of 48 and 32 is 16.
