In this paper, we investigate the acceleration of an acoustic channel attack on the RSA algorithm in GnuPG software by removing electromagnetic leaks. The technical justification of the feasibility of the study is formulated. The main attention is paid to the analysis of the interaction of acoustic and electromagnetic signals generated by the device during decryption using RSA-4096. Specific patterns corresponding to decryption operations have been identified from acoustic and electromagnetic leaks. Models are presented that demonstrate the interaction and possibilities of correcting the acoustic signal using data obtained from electromagnetic leaks. As a result, an attack model was developed to reduce the time for extracting private keys, a stand was developed and separate stages of the attack were carried out.