Recycling method for heavy rare earth element and recycling method for rare earth magnet

A method for collecting a heavy rare earth element from a heavy rare earth element-containing molten salt electrolysis residue and recycling the heavy rare earth element, the method comprising:

• mixing coarse particles of the heavy rare earth element-containing molten salt electrolysis residue with a fluorinating material followed by firing, to fluorinate the coarse particles of the molten salt electrolysis residue;
• grinding the coarse particles of the fluorinated molten salt electrolysis residue to obtain a powder of the fluorinated molten salt electrolysis residue;
• and
• mixing the powder of the fluorinated molten salt electrolysis residue with R, an R-M alloy, or an R-M-B alloy wherein R is one or more types of rare earth elements selected from the group consisting of Y, La, Ce, Nd, Pr, Sm, Gd, Dy, Tb, and Ho, Mis a transition metal selected from the group consisting of Fe and Co, and B is boron, heating and melting the mixture, separating a molten alloy from slag, and selectively extracting the heavy rare earth element into the molten alloy.