Question

What is the greatest common factor of $24s^3,12s^4$ and $18s?$

• A. $3$
• B. $6$
• C. $3s$
• D. $6s$

Answer 1

The correct option is D

$6s$

Explanation for correct option:

Option (D):

Factoring the number to get the greatest common factor:

$$\begin{gathered} 24s^3=2\times 2\times 2\times 3\times s\times s\times s \\ 12s^4=2\times 2\times 3\times s\times s\times s\times s \\ 18s=2\times 3\times 3\times s \end{gathered}$$

Since they share $2,3\text{and}s$ in common, multiply them:

$$\begin{gathered} 2\times 3\times s \\ =6s \end{gathered}$$

The greatest common factor is the greatest common factor that divides all the given numbers.

Hence greatest common factor is $6s.$

Since G.C.F of the number obtained is $6s$, options $A,B$and $C$ are incorrect.

Hence, option(D) is correct answer.