Brianne's Hand  Suggested by RynPurple3 
Taylor Swift Handwriting  Suggested by ellebelle_13 
Taytex  Suggested by ellebelle_13 

They're both handwritten,closest i can find for 1989 is "Brianne's Hand", for Taylor's Version, its Carla Sans handwritten, closest i can find is " Penelope Anne" on font space

For 1989, the closest font is "Taylor Swift Handwriting"

For 1989 (Taylor's Version), the closest font is "Taytex", however it won't show the 8 in "1989" unless you buy the pro font.