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`

Step-by-step 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*2*3* a* a* a* a* a \\ 38a^4b^2\rightarrow2*19* a* a* a* a* b* b \end{gathered}`

Then,

Final answer:

Hence, the value of GCF is shown below:

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