Given:
The expressions
[tex]8\mleft(y-2\mright)\mleft(y+3\mright)^4\text{ }and\text{ }12\mleft(y+3\mright)^4\mleft(y+2\mright)[/tex]To find the GCF:
Both the expression is having some factors in common.
That is,
[tex]4\times(y+3)^4[/tex]
Hence, the GCF is,
[tex]4(y+3)^4_{}[/tex]