Their biggest away win of the season saw them clinch the third play-off place - and also set a new club goalscoring record.
They have now scored 87 goals - the most in any one season since joining the league 40 years ago.
Victory over Bedfont Town also guarantees them a home tie - against either Uxbridge or Beaconsfield - in the play-off semi-finals on May 1st.
We never looked likely to falter against the London-based team who were the first side to take a point at the Oval back in October.
Two goals in each half rewarded Steve Farmer
’s side for their efforts but the margin of victory should have been greater.
Farmer made one enforced change - Kieron Brehon
coming in for injured Andrew Spencer
- to the side that netted five against second-placed Slough seven days earlier.
The Greenbacks reaped another rich goal harvest - on a ground ironically named The Orchard - with striker Ashley Robinson
setting us on the way after 24 minutes with an absolute gift.
Robinson simply had to walk the ball into the net after a clearance out of defence bounced over goalkeeper Gary Ross.
Bedfont were sharp in attack but their hopes of a recovery suffered a hefty blow when influential Jon-Barrie Bates was sent off after collecting two yellow cards in quick succession.
From then on, the Greenbacks took charge and Mitchell Piggon
had a goal harshly disallowed for offside before we added a second in first half stoppage time.
was on the spot to confidently drill home a cross from Brehon for his 10th goal of the season - a satisfying tally for a midfielder.
With his side in comfort zone, it gave manager Farmer an opportunity to quickly use three of his substitutes early in the second-half with the play-offs in mind
Central defender Kyle Cartwright was introduced after 56 minutes - replacing Ian Roper
- for his first appearance after being out through injury since early January.
Luke Corbett then came on for Robinson and he bagged the Greenbacks third goal in the 73rd minute.
Corbett struck home a delightful free-kick for his third goal in eight games since the former Leamington goal-ace joined the club.
The Greenbacks wrapped up the scoring in second-half stoppage time when Piggon, a threat throughout, was rewarded with his 16th goal of the season.
Bedfont Town: Ross, Brewer, Jacobs, Williams, Walker (Ranger 54, Osgood for Ranger 72), Bates, Karek, Haule, Stanislaus, Lambe, Cole. Subs not used: Brommicombe, Sonner.
Bedworth United: Cross, Dean, Wesley, Tullin, Roper (Cartwright, 56), Recci, Brehon, Ashley Spencer
, Robinson (Corbett, 65), Piggon, Bates (Greenway, 70). Substitutes not used: Baxter, Burke.
Greenbacks man of the match: Chris Tullin