The prioritization of large memory page mapping is a function of the access bits in the L1 page table. In a first phase of operation, the number of set access bits in each of the L1 page tables is counted periodically and a current count value is calculated therefrom. During the first phase, no pages are mapped large even if identified as such. After the first phase, the current count value is used to prioritize among potential large memory pages to determine which pages to map large. The system continues to calculate the current count value even after the first phase ends. When using hardware assist, the access bits in the nested page tables are used and when using software MMU, the access bits in the shadow page tables are used for large page prioritization.