Gregor was making his first competitive start of the campaign and kicked two early penalties before Connacht were into their stride and although Paul Warwick scored with a penalty kick Glasgow were on the front foot and after Johnny Beattie had scooped up the ball from the base of a scrum to Graeme Beveridge, whose pass was perfectly delivered for full-back Graydon Staniforth to romp in under the crossbar, giving Gregor a formality of a conversion.
Glasgow kept up the pace , but a combination of desperate defending and careless hands prevented them from adding to their lead until Gregor completed his first-half treble with a 40-metre thump on the stroke of the interval.
Play became disjointed in the second period with both teams trying to over-complicate their approach but it was the Warriors who settled quickest to effectively put the match out of reach.
A well-controlled pack surge enabled lock Dan Turner to reach the target at full-stretch, with Gregor gleefully maintaining his 100% record with the boot as he expanded the lead to 20.
But Connacht were not completely killed off and less than five minutes later they sneaked in for a touchdown from Andy Farley, goaled by Warwick. Gregor burst back into the limelight to convert his own try under the crossbar in the wake of a breakout from the home 22-area featuring Hefin O'Hare and Shaw.
|Glasgow Warriors Score Card|
|Connacht Rugby Score Card|