Cryptosystems relying on chaotic maps have been presented lately. As a result of inferred and convenient connections amongst the attributes of conventional cryptosystems and chaotic frameworks, the concept of chaotic systems with applications to cryptography has earned much consideration from scientists working in the various domains. Hence, we suggest a novel IDentitybased Blind Signature (ID-BS) based technique in this paper that relies on a pair of hard number theoretic problems, namely, the Chaotic Maps (CM) and FAC-toring (FAC) problems. The technique is immune to attacks, in addition to its efficiency in application. Relative to other related schemes, it requires fewer module operations. In summary, our proposed technique is superior to similar schemes within the cryptosystems domain.