I agree that a good part of it could be the age. I know when my sons were younger they gravitated to their mother for numerous reasons, however, once they hit their "tweens" and older have gravitated toward me more. Kids, like the rest of us, gravitate toward whoever fulfills their needs at any given time.
A lot, if not most couples, have opposing personalities. That happens because we balance each other, we fill a part of each other's lives we can't provide on our own. I suggest taking a page out of that book. When there are activities or needs that require multitasking, mom is best suited for the job, when there is more of a focused task or activity, dad needs to step in. Play to your strengths and your child is more likely to adopt them both.
When it's time for your child to start car shopping, dad can give her a good education and take her out to do so. When it's time to do homework, sit down, and grind out work, dad can step in. When it's time to drive her out of town to an activity, that's a job for dad. Just look at each activity as, "Who's the best person for this?" The frequency of answering mom or dad is going to change as the years go by likely.
