Question

What is the step by step process of solving for the GCF from a list of terms.
Ex. (see picture)

Answer 1

`\bf 18a^5b^8c^4\quad \begin{cases} 18=\underline{2\cdot 3}\cdot 3\\ a^5=\underline{aaaaa}\\ b^8=\underline{b} bbbbbbb\\ c^4=cccc \end{cases}\qquad 12a^6b\quad \begin{cases} 12=2\cdot \underline{2\cdot 3}\\ a^6=\underline{aaaaa} a\\ b=\underline{b} \end{cases} \\\\\\ \textit{notice the underlined factors, those are common to both terms} \\\\\\ 2\cdot 3\cdot aaaaa\cdot b\implies 6a^5b\impliedby GCF`