Before you would commit to either debt repayment technique you would work out your income and then also take into account your priority and non-priority debts. This is vital as it is not advisable to ignore your priority debts such as council tax simply because it's not interest-bearing.
Ignoring priority debts may seem like a way of getting your debts paid quicker but are more like to result in serious consequences for you and your family if you stop paying your mortgage or rent.