Relationship of GCF to Factored Form

Glossary Checklist FAQ

Relationship of GCF to factored form

Using Example 1, review and compare how the GCF is related to the original expressions.

Original	GCF	Factored form
\(6x^2y^4z\)	\(3xy^2z\)	\(3xy^2z(2xy^2)\)
\(12xy^3z\)	\(3xy^2z\)	\(3xy^2z(4y)\)
\(15xy^2z\)	\(3xy^2z\)	\(3xy^2z(5)\)

Reversing the process, you should arrive back at the original.

Factored form	Original
\(3xy^2z(2xy^2)\)	\(6x^2y^4z\)
\(3xy^2z(4y)\)	\(12xy^3z\)
\(3xy^2z(5)\)	\(15xy^2z\)

Performing the reverse operations results in exactly what you began with.