(1) Runtime. Even though C has "no" runtime, there is some runtime overhead: Variable allocation / de-allocation and alignment. Function invocation / call stack setup. Et cetera. I don't know enough about Rust to understand what its exact "runtime" is like, but I'd bet it's not exactly like C. (Rust is strongly-typed, is it not? Does it do run-time type-checking?) Exception handling in particular requires a non-negligible amount of run-time overhead and may account for a significant proportion of the difference between the performance of Rust and C.
(2) Optimization. Rust and C are going to be compiled with either GCC or LLVM. The way both work is they compile the program to an internal representation of opcodes, which then get optimized and platform-specific, optimized machine code is then emitted. In some cases the specific set of opcodes or optimizations used with various conventions / data structures may be more efficient or less efficient. Over time this will improve.