Identifying Common Factors

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