EXAMPLES:
Question:
Identify all common factor(s) of
$\,3x\,$ and $\,3t\,$.
Answer:
$3$
Thought process:
The factors of
$\,3x\,$ are $\,3\,$ and $\,x\,$.
The factors of
$\,\,3t\,\,$ are $\,3\,$ and $\,\,t\,$.
The only factor that appears in both lists is
$\,3\,$.
In other words, the only factor that is common to both lists is $\,3\,$.
Question:
Identify all common factor(s) of
$\,xy\,$ and $\,zx\,$.
Answer:
$x$
Question:
Identify all common factor(s) of
$\,3(x+1)\,$ and
$\,(x+1)(x-2)\,$.
Answer:
$(x+1)$
Note:
Input any common factor of the form
$\,x+k\,$ or $\,x-k\,$ inside parentheses.
Question:
Identify all common factor(s) of
$\,7txy\,$ and
$\,7zyx\,$.
Answer:
$7xy$
Note:
List the common factor(s) in the order that they appear,
going from left to right,
in the first expression.
Question:
Identify all common factor(s) of
$\,3x^2y^3\,$ and
$\,4y^3\,$.
Answer:
$y^3$
Note:
Input exponents using the ‘ ^ ’ key.
Master the ideas from this section
by practicing the exercise at the bottom of this page.
When you're done practicing, move on to:
Factoring Simple Expressions