Exhibit 23.1

Consent of Independent Registered Public Accounting Firm

We consent to the incorporation by reference in the registration statements (No. 333-260972) on Form S-3 and (Nos. 333-249286, 333-254145, 333-262949, and 333-269944) on Form S-8 of our report dated February 22, 2024, with respect to the consolidated financial statements of C4 Therapeutics, Inc.

/s/ KPMG LLP

Boston, Massachusetts

February 22, 2024