IDENTIFYING COMMON FACTORS
EXAMPLES:
Question: Identify all common factor(s) of [beautiful math coming... please be patient] $\,3x\,$ and $\,3t\,$.
Answer: [beautiful math coming... please be patient] $3$
Thought process:
The factors of [beautiful math coming... please be patient] $\,3x\,$ are $\,3\,$ and $\,x\,$.
The factors of [beautiful math coming... please be patient] $\,\,3t\,\,$ are $\,3\,$ and $\,\,t\,$.
The only factor that appears in both lists is [beautiful math coming... please be patient] $\,3\,$.
In other words, the only factor that is common to both lists is $\,3\,$.
Question: Identify all common factor(s) of [beautiful math coming... please be patient] $\,xy\,$ and $\,zx\,$.
Answer: [beautiful math coming... please be patient] $x$
Question: Identify all common factor(s) of [beautiful math coming... please be patient] $\,3(x+1)\,$ and [beautiful math coming... please be patient] $\,(x+1)(x-2)\,$.
Answer: [beautiful math coming... please be patient] $(x+1)$
Note:
Input any common factor of the form [beautiful math coming... please be patient] $\,x+k\,$ or $\,x-k\,$ inside parentheses.
Question: Identify all common factor(s) of [beautiful math coming... please be patient] $\,7txy\,$ and [beautiful math coming... please be patient] $\,7zyx\,$.
Answer: [beautiful math coming... please be patient] $7xy$
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 [beautiful math coming... please be patient] $\,3x^2y^3\,$ and [beautiful math coming... please be patient] $\,4y^3\,$.
Answer: [beautiful math coming... please be patient] $y^3$
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

 
 
Identify all common factors of:
and