If you double-click the Eyedropper Tool you can choose which items get picked up. It's a bit unreliable, and has a few bugs, but it does work in many cases.

You could also simply select Object A, drag the color from the Color Panel to the Swatch Panel, then select Object B and click the swatch you created to use that color.

If you double-click the Eyedropper Tool you can choose which items get picked up. It's a bit unreliable, and has a few bugs, but it does work in many cases.

You could also simply select Object A, drag the color from the Color Panel to the Swatch Panel, then select Object B and click the swatch you created to use that color.

Many have selected merely holding the Shift and clicking with the Eyedropper tool. You can do that. However you should be aware that Shift-clicking with the Eyedropper tool picks up the color used for the screen preview. The Shift key picks up the preview color, not the actual color as it is applied to an object. The Shift-click method may not be one to use if you are trying to keep colors between objects the same.

If you double-click the Eyedropper Tool you can choose which items gat picked up. It's a bit unreliable, and has a few bugs, but it does work in many cases.

You could also simply select Object A, drag the color from the Color Panel to the Swatch Panel, then select Object B and click the swatch you created to use that color.

If you double-click the Eyedropper Tool you can choose which items get picked up. It's a bit unreliable, and has a few bugs, but it does work in many cases.

You could also simply select Object A, drag the color from the Color Panel to the Swatch Panel, then select Object B and click the swatch you created to use that color.