How to factor RSA modulus given the public and private exponent?

Yes -- once you know the modulus N, and public/private exponents d and e, it is not too difficult to obtain p and q such that N=pq.

You can use the open source tool I have developed in 2009 that converts RSA keys between the SFM format (n,e,d) and CRT format (p,q,dp,dq,u), and the other way around. It is on SourceForge : http://rsaconverter.sourceforge.net.

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