Sept 4 (Reuters) - The U.S. Justice Department has launched a criminal mortgage fraud probe into Federal Reserve Governor Lisa Cook and has issued grand jury subpoenas out of both Georgia and Michigan, according to documents seen by Reuters and a source familiar with the matter.

The investigation followed a criminal referral from Federal Housing Finance Agency Director Bill Pulte, and is being conducted by Ed Martin, who was tapped by Attorney General Pam Bondi as a special assistant U.S. attorney to assist with mortgage fraud investigations involving public officials, along with the U.S. Attorneys’ offices in the Northern District of Georgia and the Eastern District of Michigan, according to the person, who spoke anonymously since the matter is not public.

Pulte, who was appointed by Trump, has accused Cook of committing fraud by listing more than one property as a primary residence when she applied for mortgages, potentially to secure lower interest rates. Cook owns properties in Michigan, Georgia and Massachusetts.

Trump terminated Cook over Pulte’s mortgage fraud allegations against her, prompting her to file a lawsuit challenging his effort to oust her.

The case, which will likely end up before the U.S. Supreme Court, has ramifications for the Fed’s ability to set interest rate policy without regard to politicians’ wishes, widely seen as critical to any central bank’s ability to keep inflation under control.