@Zach Shahan - This is an age old debate and you will get people arguing either said. You have to think about what your goals are? Do you want to become as wealthy as possible in as little time as possible? Or would you rather stay risk free?
If you want to become wealthy, make the minimum payments on your mortgage (which I am guessing are at below 5% interest) and save that money for your next down payment. Remember, if you are living there you can lever much more by only putting down 3% to 5%.
If you want to stay risk free, then pay off the loan before buying the next one. You will just be growing your wealth much much slower. If it takes you 5 years to pay off your property, at the end of 5 years, you will only have one property that is cash flowing you a whole bunch. Whereas if you own 5 properties, you'll have all 5 cash flowing you, building you equity, reducing your taxable income, paying down your loan, etc.
Personally, I think leverage is one of the biggest advantages to real estate and I would 100% be making those minimum payments and purchasing more property. When you get to a point where you have enough. You don't care about getting wealthier and would rather just have maximum cash flow with minimum risk, then you go ahead and pay down those loans.