Sharp bought 80% of Toshiba's personal computing arm in 2018 for $36m (£27m), and has now bought the remaining shares, Toshiba said in a statement.
Toshiba's first laptop, the T1100, was launched in 1985 only in Europe with an annual sales target of 10,000 units, according to website of Toshiba Science Museum, reports BBC.
In 2011 Toshiba sold more than 17m PCs but by 2017 this had fallen to 1.9m, reported Reuters.
In 2016, it had ceased making consumer laptops for the European market, focusing only on hardware for businesses.
Recent years have been difficult for the conglomerate as in 2015, it posted a full year loss of $318m, later in 2019, it wrapped up its nuclear business NuGen in UK after failing to find a buyer for it.
Consumer demand for laptops has soared in the last few months because of the Coronavirus pandemic and global lockdowns, but overall, the market for personal computers has been tough for quite a while, said analyst Marina Koytcheva from the firm CCS Insight.