Question

What is the greatest common factor for 24, 40,72?

Answer 1

8

Step-by-step explanation:

To find the least common factor for 24, 40,72​.

First, express each number as a product of its prime factors in index form.

`\begin{gathered} 24=2*2*2*3=2^3*3 \\ 40=2*2*2*5=2^3*5 \\ 72=2*2*2*3*3=2^3*3^2 \end{gathered}`

Next, we observe that in the three products, the term 2³ is common.

Therefore, the greatest common factor for 24, 40, and 72​ is:

`2^3=8`

The GCF of 24, 40, and 72​ is 8.