How can I take advantage of repeated patterns in non random RSA prime factors? I am researching vulnerable RSA moduli which are composed of primes generated with poor entropy. Having a list of these primes I searched for variable sized repeated patterns among them and I noticed the following: 

DD93536E58A60B0F56BF95FAEDC7CA42A9C9809A0AAE2FC971C3D9963587ABCEAF2BAB479A68DDC9EFF0E98F0F5FD488A9DD08CC51C01E9A3CFE46CA10BF6AB5
DD93536E58A60B0F56BF95FAEDC7CA42A9C9809A2CF5B9957C2E6FD04E817F03D2E174BB79364A0FC0BF365807A1F9E3286A04EB90FBE9DD52B0A2F12222AB51
DD93536E58A60B0F56BF95FAEDC7CA42A9C9809ABB02D6D274A02869AF059E586EED6DC634FCC33C455504DD40FC43D23544AC4E8F2C5E5C64E3E7530C7EDB07
DD93536E58A60B0F56BF95FAEDC7CA42A9C9809ACEF6287DF02847947530B8CA9A125ACCB53EC922D6E9775A3B0169894ED5A46B281C17AF4583874B715B07BB

Four distinct primes have in common their first 160 bits. Apart from being obvious that these primes have been generated by a weak random number generator how can they be used to derive some other primes generated from the same RNG that are potential factors of other moduli?
Theorem 1 of "Implicit Factoring with Shared Most Significant and Middle_Bits" by Jean-Charles Faugère, Raphaël Marinier, Guénaël Renault from 2010 deals with factoring products of two primes where some fraction of the MSBs are common to one of the primes in each of the composites. If I read their bounds correctly, their method must only be useful for quite unbalanced primes.

"Let $N_1=p_1*q_1,N_2=p_2*q_2$ be two n-bit RSA moduli, where the $q_i$s are $\alpha$-bit primes and the $p_i$s are primes that share the $t$-most significant bits, If $t&gt;2*\alpha+3$ then $N_1$ and $N_2$ can be factored in time quadratic in $n$"