what is the greatest common factor of $4xy^{2}$ and $20x^{2}y^{4}$?\n$4xy$\n$4xy^{2}$\n$24xy$\n$24xy^{2}$

Explanation:

Step1: Find GCF of coefficients

Find GCF of 4 and 20. Factors of 4 are 1, 2, 4. Factors of 20 are 1, 2, 4, 5, 10, 20. So GCF is 4.

Step2: Find GCF of x - terms

For $x$ and $x^{2}$, lowest power of $x$ is $x$.

Step3: Find GCF of y - terms

For $y^{2}$ and $y^{4}$, lowest power of $y$ is $y^{2}$.

Step4: Combine GCFs

Multiply GCF of coefficients, x - terms and y - terms: $4\times x\times y^{2}=4xy^{2}$.

Answer:

B. $4xy^{2}$