what is the greatest common factor of 60x^4y^7, 45x^5y^5, and 75x^3y?\n5xy\n15x^3y\n45x^3y^5\n75x^5y^7

Explanation:

Step1: Find GCF of coefficients

Find GCF of 60, 45, 75. Prime - factorize: 60 = 2^2×3×5, 45 = 3^2×5, 75 = 3×5^2. GCF(60, 45, 75)=15.

Step2: Find GCF of x - terms

For x^4, x^5, x^3, the lowest power of x is x^3.

Step3: Find GCF of y - terms

For y^7, y^5, y, the lowest power of y is y.

Answer:

B. 15x^3y