Question

Complete the following.(a) Find the greatest common factor (GCF) of 16 and 72.ХGCF =(b) Use the GCF to factor 16+72.+16 + 72 = +D

Answer 1

(a)

GCF = 8

(b)

16 + 72 = 8 x (2 + 9)

Explanation:

We can calculate the greatest common factor (GCF) as follows:

`\begin{gathered} 16=2\cdot2\cdot2\cdot2 \\ 72=2\cdot2\cdot2\cdot3\cdot3 \\ \text{ Prime factors in common:} \\ GCF=2\cdot2\cdot2 \\ GCF=8 \end{gathered}`

Therefore, we can express it as follows:

`16+72=2\cdot8+9\cdot8=8\cdot(2+9)`