Question

you do...
2x³y, 8x²y², 30xy³:

Explanation:

Step1: Find GCF of coefficients

Coefficients: 2, 8, 30. GCF(2,8,30) = 2.

Step2: Find GCF of \(x\)-terms

\(x^3, x^2, x\). Lowest power: \(x^1 = x\).

Step3: Find GCF of \(y\)-terms

\(y, y^2, y^3\). Lowest power: \(y^1 = y\).

Step4: Combine GCFs

GCF = \(2 \times x \times y = 2xy\).

Answer:

The greatest common factor (GCF) of \(2x^{3}y\), \(8x^{2}y^{2}\), and \(30xy^{3}\) is \(2xy\).