The phrase "a common genus" is correct and usable in written English.
It can be used in biological or taxonomical contexts to refer to a shared category of organisms that belong to the same genus.
Example: "The lion and the tiger belong to a common genus, which is Panthera."
Alternatives: "a shared genus" or "a mutual genus".
The wing covers (elytra) of many species of Cicindela, a common genus, have scroll-like marks.
Helix is also the name for a common genus of snails, but as a commuter, that particular allusion is a bit too traumatizing to dwell on.
Similar in shape to European sea bass, American striped bass were recently found through DNA analysis to be so closely related as to share a common genus (Morone).
A common genus is Peripatus, found in the West Indies, Central America, and the northern parts of South America.
Darwin's theory had instant appeal, in part because it explained the hierarchical pattern of resemblance: species in a common genus are similar because they evolved from a common ancestral species, the (possibly now extinct) founder of that genus.
Sea walnut, any member of a common genus (Mnemiopsis) of gelatinous, planktonic marine invertebrates of the order Lobata (class Tentaculata, phylum Ctenophora).
Alternaria is a common contaminating genus of fungi in fruits, grains, and vegetables that causes severe economic losses to farmers and the food industry.
Scientists recognized it as a member of a common disease genus but knew little about where it originated or how it reproduces (ScienceNOW, 8 August 2000).
The family includes the common iguana (Iguana) of the American tropics, the marine iguana (Amblyrhynchus) of the Galapagos Islands, and the common genus Anolis with more than 200 species.
Hypericaceae consists of nine genera, of which Hypericum (about 370 species) is the most common genus in temperate areas and on tropical mountains.
[22] The width, length and rough surface of the described filaments suggest that Leptothrix is the most common genus at the Franklin Seamount vent sites.
