# 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.
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