Catalyzes the transamination reaction between 4-(hydroxymethyl)-2-furancarboxaldehyde phosphate (4-HFC-P) and alanine to produce pyruvate and 5-(aminomethyl)-3-furanmethanol phosphate (F1-P), the precursor for the furan moiety in methanofuran. 4-(hydroxymethyl)-2-furancarboxaldehyde phosphate + L-alanine = [5-(aminomethyl)-3-furyl]methyl phosphate + pyruvate Cofactor biosynthesis; methanofuran biosynthesis. Homodimer. Belongs to the class-I pyridoxal-phosphate-dependent aminotransferase family.