The basic building blocks for brain-inspired computing are neurons and their inter-cellular connections, called synapses. In this paper, we report artificial synapses composed of simple gold (Au) nanogaps that function using an electromigration-based method called "activation." In the activation technique, metal-atom transport is induced by a field emission current, resulting in a change in gap separation. Synaptic functionalities, including long-term potentiation, long-term depression, and spike-timing-dependent plasticity, were successfully implemented in the electromigrated Au nanogaps using activation. Furthermore, the integration of four artificial synapses in a 2 × 2 array and image memorization were achieved with the Au nanogap-based artificial synapses. These results illustrate that electromigrated Au nanogaps hold promise as synaptic devices for bio-inspired computational systems.