He warned: "The union will oppose any compulsory job losses."
Staff at both sites were briefed about the redundancies yesterday morning.
A company spokesman said it followed a review last year which concluded the motor finance arm, which provides funds for clients to buy vehicles, was unviable.
Speke employs 500 staff and the spokesman said 240 would be redeployed from motor finance to personal finance.
But he added the company will do its utmost to avoid compulsory redundancies by resorting to natural wastage, redeployment and using fewer contractors.
They hope to achieve the cuts by the end of September. Chester jobs will be shed next year.
The HBoS job losses follow news that Barclays Bank intends to shed up to 100 jobs at its Moorfields offices, in the centre of Liverpool.
