Answer:
[tex]4xy[/tex]
Step-by-step explanation:
find gcf of 12 and 8
[tex]12[/tex]
[tex]=2\cdot \:6[/tex]
[tex]=2\cdot \:2\cdot \:3[/tex]
[tex]8[/tex]
[tex]=2\cdot \:4[/tex]
[tex]=2\cdot \:2\cdot \:2[/tex]
Prime factors common to 12 and 8:
[tex]=2\cdot \:2[/tex]
[tex]=4[/tex]
Factors common to [tex]12xy^2z,\:8x^2y[/tex]
[tex]=4xy[/tex]