The Lorentz factor 𝛄 appears in his transformation : t’=𝛄(t-vx/c^2), x’=𝛄(x-vt), y’=y, z’=z that’s why it’s so crucial in Einstein’s Special Theory of Relativity. BTW the first time that Albert Einstein wrote the famous E=mc^2, it was when he wrote E=𝛄mc^2.