Century Bancorp (CNBKA) 10-K 2016 FY Annual report

Exhibit 23.1

	KPMG LLP Two Financial Center 60 South Street Boston, MA 02111

Consent of Independent Registered Public Accounting Firm

The Board of Directors

Century Bancorp, Inc.:

We consent to the incorporation by reference in the registration statements (Nos.333-118208,333-58196, and333-29987) onForm S-8 of Century Bancorp, Inc. of our reports dated March 15, 2017, with respect to the consolidated balance sheets of Century Bancorp, Inc. as of December 31, 2016 and 2015, and the related consolidated statements of income, comprehensive income, changes in stockholders’ equity, and cash flows for each of the years in the three-year period ended December 31, 2016, and the effectiveness of internal control over financial reporting as of December 31, 2016, which reports appear in the December 31, 2016 annual report on Form10-K of Century Bancorp, Inc.

/s/ KPMG

Boston, Massachusetts

March 15, 2017