It is a tributary of the River Tees and flows through the northern part of the old North Riding of Yorkshire.
It is joined at West Charity Farm by Sleightholme Beck, its main tributary, which runs north-east from its source between Bog Moss and Sleightholme Moor where it is formed by the confluence of Dry Gill and Frumming Beck.
From there, the river travels through Bowes, where, close to the site of the Roman fort of Lavatris it is crossed by the Pennine Way.
The area through which the Greta flows was a favourite haunt of artists, notably John Sell Cotman[2] and J. M. W.
[3][4][5] There are also many historic sites adjacent to the river including cup and ring carvings on Barningham Moor, an early Norman Keep at Scargill, the site of a Roman shrine on Scargill Moor (now in the Bowes Museum and the 17thC watermill - Brignall Mill (now a holiday cottage).