Newbie Specifying Resistors
The datasheet gives the Absolute Maximum LED current of 30 mA for the red LED, and 25 mA for green.  However, the "Electrical Characteristics" table shows test conditions for 20 mA.  I'd plan for 20 mA or less for each LED, which would require a 40 Ohm resistor.  The next standard resistor value is 43 Ohms, so I'd use that.

LEDs are not at all fussy about current, as long as it doesn't exceed the Absolute Maximum value - you might find that these LEDs are bright enough for your use with only 10 mA or less...