Probably both because the Greek and Roman culture is so much alike.
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Phaethon is a greek name of an ancient greek god, of the god Φαέθων.
It is the same as the Greek. Although some spell it Phaethon.
Greek and Roman myths are pretty much the same, characters just have differnet names, so it is considered both
Phaeton
Phaeton was a son of Helios. His symbol is the sun, though not as grand as that of Helios.
Athena is her Greek name. Her Roman name is Minerva.
In Greek Mythology, Phaeton or Apollo is the son of Helios, the sun god. Phaeton was killed by Zeus when he mismanaged to drive the sun chariot and threatened to burn earth.
Her Greek name is Artemis. Her Roman name is Diana.
Mercury is the Roman name; the Greek equivalent was Hermes.
Zeus is the greek name / Jupiter is the roman name
the greek name is Zeus and the roman name is Jupiter.
In Greek it was Dionysus. Bacchus was the Roman name.
Hera/ 'Ηρα was her Greek name. Juno was her Roman name.