Final answer:
The greatest common factor of x⁶y⁴ + x³y² is x³y².
Step-by-step explanation:
The given expression is x⁶y⁴ + x³y².
The greatest common factor (GCF) is the largest factor that divides into all terms of an expression. To find the GCF, we need to identify the common factors of the terms.
For x⁶y⁴, the factors are x³ and y².
For x³y², the factors are x³ and y².
Since these factors are common to both terms, the GCF is x³y².