Answer:
[tex]GCF = 2xy = 2 \times x \times y[/tex]
Step-by-step explanation:
[tex]12xy {}^{2} z = 2 \times 2 \times 3 \times x \times y \times y \times z \\ \\ 8x {}^{2} y = 2 \times 2 \times 2 \times x \times x \times y[/tex]
[tex]GCF = 2xy = 2 \times x \times y[/tex]