Stronger? It all comes down to atomic structure. I'm a doctor not a physicist so I'll do my best.
The hardness of a material or metal is directly related to its atomic structure. Carbon comes in different forms. One is the graphite form of carbon in pencils. In graphite the carbon atoms are linked into hexagonal sheets. Between the sheets the forces are very, very weak. Diamonds, on the other hand (still pure carbon) have each carbon atom linked to 4 other carbon atoms forming a covalent bond. This bond is very, very strong .
Gold and Iron exhibit what is called metallic bonding. This is pretty weak and is related to the large nucleous of the atoms and the extended cloud of electrons surrounding the nucleus. Long story short, the forces between Au atoms in gold metal are quite weak and the electron clouds will drift more when compared to Iron. At least that's how I understand it. Not quire MCAT related but remember what makes all those transition metals so good for conducting electricity, being malleable, ductile, is that loose sea of electrons.
Hope this helps, good luck!