Opener Litchfield's 77 off 57 deliveries ensured Australia polished off the meagre 166 all out set by Bangladesh in just 25.4 overs for the loss of three wickets.
Litchfield combined ramps, glides, clips, exquisite drives, lofted pitching wedges, reverse hockey thumps and thunderous wallops in another knock that confirmed she is unique in world cricket and an absolute joy to watch.
The left-hander was unstoppable in racing to her 12th ODI half-century.
Allrounder Annabel Sutherland, player of the match, finished the chase with 26 not out after earlier taking four wickets.
"It is a while since we have been out there in the yellow so it was nice to start like that," Sutherland said.
"It was nice to use the wicket and I felt like it was holding a bit.
"It was pretty good to watch (Litchfield), just the way she can score all around the ground and the exquisite way she plays spin is something everyone in the group looks at."
Australia pace bowler Schutt earlier snared her 150th ODI wicket in a probing opening spell to put the hosts on top.
Stand-in captain Tahlia McGrath invited the visitors to have first use of the surface and Schutt struck with the first ball of the innings, a vicious lifter that had opener Fargana Hoque edging to slip.
A Schutt inswinger trapped Sarmin Sultana (four) in front and from that moment the bowlers kept a vice-like grip on the run rate and picked up steady wickets to dismiss Bangladesh with the fourth ball of the final over.
The wicket of Sultana was the milestone 150th for Schutt. Only legendary speed demon Cathryn Fitzpatrick (180) and current allrounnder Ellyse Perry (166) have more wickets for Australia in the format.
Schutt finished with 2-19 from her 10 overs with medium pacer Sutherland (4-30) proving a handful when she hit the pitch hard.
Spinners Ashleigh Gardner, Georgia Wareham and Alana King bowled with class.
The visitors had several cameos but nothing substantial. No.3 Sharmin Akhter made a classy and breezy 24, captain Nigar Sultana (29 off 86 balls) was brave but stodgy.
Veteran allrounder Ritu Moni (45 off 63) showcased her experience and nous and was the best of a mediocre bunch.
Schutt has relished playing at AB Field throughout her career, where she now has 20 wickets.
The quick was initially left out of the ODI side in February against India before a quad injury to Kim Garth opened the door for a recall.
Schutt took 5-19 at AB Field on that occasion to provide a timely reminder of her talents.
McGrath, usually a vice-captain, has been elevated to lead due to injury to regular skipper Sophie Molineux and rotated her bowlers with panache.
The opener of three ODIs at the same venue, Friday's clash is the first match of the summer on home soil for Australia's victorious T20 World Cup side since lifting the trophy in July.
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