"differ greatly between" is correct and can be used in written English.
For example, you could use it in a sentence such as, "The opinions of the two groups on this issue differ greatly between them."
In many countries, cultural norms differ greatly between different states or areas, so it follows that we might see an increase in creativity from even interstate travel.
Spore virulence and persistence can differ greatly between different fungal strains within and between hyphomycetous species, and can be optimized through production methods and formulation [33].
Furthermore, awareness conceptualizations are usually partial and differ greatly between the proposals of different authors.
Proteins differ greatly between two cells, between the same cell at different times and between normal and abnormal cells.
Furthermore, the structural profiles of promoters differ greatly between eukaryotes and prokaryotes as the transcription complexes are radically different.
Tumor immune landscapes differ greatly between and within cancer types.
von Caemmerer, S. & Evans, J. R. Temperature responses of mesophyll conductance differ greatly between species.
All nucleated cell express MHC I, but as shown in Fig. 5 the expression levels of MHC I can differ greatly between cell types.
Although both dynamic uniaxial compression and shear induce cyclic matrix strain, the resulting forces and flows within the constructs differ greatly between the two loading types54.
Individual health outcomes differ greatly between neighborhoods, and recent research has begun to examine how neighborhood environment affects individual health.
Definitions of degree of PLNs for colon cancer differ greatly between the number and level of PLNs.
