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Dozens of fans from all over the world commented on the post.
"Hi Benji," one fan commented.
"Greetings from Argentina! I am still watching Alf these days! The show is so popular here!"
"Wish you the best!"
Gregory didn't continue his acting career much longer after Alf wrapped up.
In 2003 Gregory made a drastic career shift as he enlisted in the United States Navy.
The former actor served in the Navy until he was released with an honorable medical discharge in 2005.
"Lover of dogs, traveling, late-night runs, music, podcasts, Navy, bipolar, major depression disorder, GAD, ALF, VR, Nike, Cinema 4D, Creative Cloud," the star's Instagram bio read.
To honor Gregory's memory, Rebecca asked people to donate in Benji's name to The Actors Equity Foundation or ASPCA, two charities he loved.
The U.S. Sun contacted the Maricopa County Medical Examiner for more information.