Final answer:
The greatest common factor of 60w5y3 and 78wy2 is 6wy^2.
Step-by-step explanation:
The greatest common factor (GCF) is the largest number that divides evenly into both given numbers.
To find the GCF of 60w5y3 and 78wy2, we need to break down both numbers into their prime factors.
60w5y3 = 2^2 * 3 * 5 * w^5 * y^3
78wy2 = 2 * 3 * 13 * w * y^2
The common factors are 2, 3, w, and y^2. Taking the smallest power for each common factor, the GCF is 6wy^2.