Sources familiar with the development were quoted by The Wall Street Journal as saying that the financial organization has commenced the formal sale process and it has issued information memorandums to potential bidders.
Both divisions, which represent the major chunk of its Australian business, manages approximately A$9.4bn ($8.7bn) in assets under management.
Besides offering loan for cars, aircraft and office equipment, Capital Finance offers commercial lending to governments, public and private organizations as well as individuals.
It is expected that Westpac Banking, Commonwealth Bank of Australia, National Australia Bank and ANZ Banking Group will bid for the businesses.
Other potential suitors for Capital Finance include Macquarie Group and some Chinese, Japanese and Canadian banks, which are looking to grow, or form an Australian operation.
The British banking firm is also seeking to divest other noncore assets, including $8.7bn of US mortgage securities and asset-management unit Scottish Widows Investment Partnership.
