Taijutsu: Her Taijutsu was praised by Jiriaya as being unmatched, and she was skilled enough to even take on Orochimaru and Kabuto despite 20 years of being a drunken gambler, even being able to land a clean punch on Orochimaru's face, subdue Manda with one hit, and blitz Kabuto.
Her Taijutsu got a 5/5 in the third databook, while Sakura's got a 3/5. Now, after the third databook, Tsuande went on to display more taijutsu feats when she was up against Madara, being able to land multiple hits on him and his Susnao'O. Sakura, on the other hand, has shown little to no improvement in her taijutsu post-3rd databook, meaning that Tsunade's skill has improved considerablly, while Sakura's has remained more or less the same. Of course, I think as a whole most people agree that Tsunade's taijutsu skills are superior to Sakura's, so I'll leave it at that.
Durability: Tsunade was capable of tanking the Heavenly Transfer Technique, which Mabui said only the Third Raikage could handle. She even doubted Ay would be able to handle it, let alone Tsuande. And yet, she came out of the technique with minor cuts and wounds, only ever activating the Yin seal to heal the damage done by the technique afterwards.
Sakura's best tanking feat is ... well, I can't exactly recall any good tanking, but I certainly am aware of a large chunk of bad tanking feats she has under her belt, such as being knocked back by Kabuto's rear, going unconscious due to hitting her head on a bridge, being sent flying by Omoi, getting owned by Naruto's tailand perhaps a few other moments,
Stamina: As a Senju and Uzumaki, Tsunade's stamina is massive, and this is shown when she was able to heal and protect a large chunk of the Leaf Village during Pain's assault. Sakura also has good stamina thanks to her yin seal, but Tsunade also has that same seal, along with her genetics, which make her once again come out on top
Raw Strength: Her raw strength is many times superior to Sakura's, as she was able to lift Gamabunta's gargantuan metal sword and use it to slam Manda's mouth shut. The closest feat of Raw strength Sakura has displayed is pulling Sasori's hollow, wooden body towards herself.
Chakra Enhanced Strength: Tsunade still takes the cake. Hashirama, when witnessing Sakura's strength in chapter 632, commented that Sakura's strength ''May almost be as bad as Tsunade's". This tells us that Sakura's strength is POTENTIALLY on par with Tsunade's [not guaranteed]. But Hashirama is not referring to the Tsunade we saw fighting in the war, but rather a much younger Tsunade, as he passed away when Tsunade was 12 years old at best. This means that Hashirama was comparing a 12 year old Tsunade who lacks the Yin Seal to a 17 year old Sakura who has the Yin seal. Of course, with this in mind, it's more than obvious that Tsunade is stronger than Sakura with the Yin seal.
Moveset: She posses only one offensive move that Sakura doesn't, the Body Derangement technique. But, this one move can make a massive difference in a taijutsu battle, as Tsunade simply needs to touch her opponent and insert electricity into their nervous system to make their bodies unable to move the way they desire, leaving her opponent open for a nice, clean hit.
nobody knows when hashirama died but either way tsunade didn't show anything that sakura didn't show.
She was 12 years old at best when Hahsirama died, given that Hiruzen was Hokage when Tsunade was 12, meaning Tobirama must have already been dead by then, and Hashirama likewise.
So yes, Tsunade was 7-12 years old when Hashirama died, meaning this is the version of tsunade he was referring to, who, mind you, didn't even have a Yin Seal.