If you're going to tame, look for a low level couple. You can use Tidy Save to respawn griffins (any dino, actually. I tamed my quetzals like this)

I made the mistake of taming it with 15x balm and prime meat

five hours of taming, without taking my eye off the damn griffin, while killing everything that drops prime meat

use allosaurus kibble, balm 10x and starve tame

btw, to spawn the griffins is simple

1 - go to far's peak with flying mount

2 - use tidy save to despawn other wild dinos not rendered

if you did not find the griffin:

3 - go away from far's peak and use tidy save

repeat

my final words: BEWARE! FAR'S PEAK HAS A QUITE COMMON GIGANOTOSAURUS SPAWN

hope this helps.