The significance of anomalous Hall effect (AHE) lies in its capability of the interconversion between spin and charge information. The van der Waals (vdW) ferromagnet $\mathrm{F}{\mathrm{e}}_3\mathrm{GaT}{\mathrm{e}}_2$ has attracted extensive interest owing to its high Curie temperature and strong perpendicular magnetic anisotropy. Here, we report a comprehensive Tian-Ye-Jin (TYJ) scaling analysis combined with density functional theory (DFT) calculations to elucidate the origin of the AHE in $\mathrm{F}{\mathrm{e}}_3\mathrm{GaT}{\mathrm{e}}_2$. We have separated the contributions to the AHE from three distinct mechanisms: skew scattering, side-jump, and intrinsic Berry curvature. Our DFT calculations reveal that the intrinsic contribution is attributed to the transitions between Fe-$d_{xz/yz}$ and Te-$p_{x/y}$ orbitals. Furthermore, we find that electron-magnon scattering significantly influences electrical transport, giving rise to a quadratic dependence between magnetoresistance variation and side-jump scattering. Our findings advance the understanding of AHE and electron-magnon scattering in vdW magnets and would facilitate applications of $\mathrm{F}{\mathrm{e}}_3\mathrm{GaT}{\mathrm{e}}_2$ in spintronic devices.

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• Anomalous Hall effect
• Ferromagnetism
• Ferromagnets
• Layered crystals
• Bloch wave theory
• Crystal growth
• Density functional theory
• Energy-dispersive x-ray spectroscopy
• Hall bar
• Liquid helium cooling
• Magnetization measurements
• Resistivity measurements
• Scanning electron microscopy
• Wannier function methods
• X-ray diffraction