When is the greatest common factor of 2x squared and 4x squared y

To find the greatest common factor of 2x² and 4x²y, first factor out the common terms between the two expressions.

2x² = 2 * x * x
4x²y = 2 * 2 * x * x * y

The greatest common factor between 2x² and 4x²y is 2x².