There is no indication of his name in The Bible, but scholars call him Pharoah 128, to presume it was Ramses or anyone else is best left to those who do not answer questions on here.
And incidentally, no one, Pharaoh or otherwise, drove Moses out of Egypt. Moses went to Pharaoh and demanded he let Moses and his people go (they were slaves in Egypt, not people Pharaoh would be inclined to drive away since they were his cheap labor force). When Pharaoh would not let Moses and the Israelites go, 10 plagues descended upon Egypt one at a time until finally Pharaoh let Moses and his people leave. Pharaoh quickly changed his mind and chased Moses (to either capture them all or kill them all) to the Red Sea where Moses and his people safely crossed the sea and Pharaoh's men/army were all swallowed up by the sea.
If the Israelites left Egypt in 1441 BCE, and if Thutmose III was Pharaoh from 1479 to 1425 BCE, then it's fair to conclude that Thutmose III was the pharaoh from whom Moses demanded freedom.
Thutmose III (Thutmose 3).
There was only 1 Pharaoh that enslaved the Hebrews, but his name is not mentioned in the Torah.
They were slaves to Pharaoh.
He enslaved them.
Because the Hebrews were starting to outnumber the Egyptians in population.
Then Moses and Aaron came to Pharaoh, and said, LORD God of the Hebrews says: 'How long will you refuse to humble thyself before me? Let my people go, that they may serve me. Exodus 10: 3
After the Pharaoh died, and the new Pharaoh took over, they were enslaved.
According to the Biblical narrative, Pharaoh's failure to release the Hebrews from bondage resulted in the Egyptian people suffering from the Ten Plagues.
Matzoh
The Torah doesn't mention the name of the Pharaoh who enslaved the Hebrews.
1) They were supplying free labor.2) At first he was simply stubborn on his own account. The fact that he asked his necromancers to replicate the early Plagues (Exodus ch.7) shows that he didn't want to believe. Later, as a punishment, God Himself hardened Pharaoh's heart (Exodus ch.9).
makot(plaques)
Pharaoh, the one who wouldn't let the Hebrews go.