Question

What is the GCF of 12a^5 and 38a^4b^2

Answer 1

Given:

There are give that the expression:

$12a^5,and,38a^4b^2$

Explanation:

According to the question:

We need to find the value of GCF.

So,

For the GCF:

Find the prime factors of each term in order to find the greatest common factor (GCF).

Then,

From the expression:

$\begin{gathered} 12a^5\rightarrow2\times2\times3\times a\times a\times a\times a\times a \\ 38a^4b^2\rightarrow2\times19\times a\times a\times a\times a\times b\times b \end{gathered}$

Then,

$\begin{gathered} 12a^5\operatorname{\rightarrow}\times2\times2\times3\times a\times a\times a\times a\times a \\ 38a^4b^2\operatorname{\rightarrow}\times2\times19\times a\times a\times a\times a\times b\times b \\ =2a^4 \end{gathered}$

Final answer:

Hence, the value of GCF is shown below:

$\begin{equation*} 2a^4 \end{equation*}$