A filter life predicting apparatus (1, 1A) comprising: a differential pressure detection unit (5, 5A) provided in a filtration device including a filtration member that filters a liquid, the differential pressure detection unit (5, 5A) is configured to detect a differential pressure as a pressure difference between a high pressure side and a low pressure side in the filtration device; a storage unit that is configured to store differential pressure characteristics, the differential pressure characteristics indicating a relationship between the differential pressure and an attached dust amount as an amount of dust attached to the filtration member, the differential pressure characteristics including information on a life of the filtration member; and a life predicting unit (8, 8A) that is configured to obtain a remaining life based on a first differential pressure detected by the differential pressure detection unit (5, 5A) at a first time as a time while the filtration device filters the liquid and the differential pressure characteristics, the remaining life indicating how long the filtration member is usable after the first time, wherein the differential pressure detection unit (5, 5A) is configured to continuously detect the differential pressures, and the life predicting unit (8, 8A) is configured to continuously obtain the remaining lives based on the continuously detected differential pressures to correct the remaining life based on the obtained results, characterized in that the life predicting unit (8, 8A) is configured to: obtain a first remaining life and a second remaining life as the remaining lives, the first remaining life indicating how long the filtration member is usable after the first time, the second remaining life indicating how long the filtration member is usable after a second time based on a second differential pressure detected by the differential pressure detection unit (5, 5A) at the second time prior to the first time and the differential pressure characteristics; and correct the differential pressure characteristics based on an elapsed time between the second remaining life and the first remaining life in the differential pressure characteristics and an elapsed time between the second time and the first time, and corrects the first remaining life based on the corrected differential pressure characteristics. a differential pressure detection unit (5, 5A) provided in a filtration device including a filtration member that filters a liquid, the differential pressure detection unit (5, 5A) is configured to detect a differential pressure as a pressure difference between a high pressure side and a low pressure side in the filtration device; a storage unit that is configured to store differential pressure characteristics, the differential pressure characteristics indicating a relationship between the differential pressure and an attached dust amount as an amount of dust attached to the filtration member, the differential pressure characteristics including information on a life of the filtration member; and a life predicting unit (8, 8A) that is configured to obtain a remaining life based on a first differential pressure detected by the differential pressure detection unit (5, 5A) at a first time as a time while the filtration device filters the liquid and the differential pressure characteristics, the remaining life indicating how long the filtration member is usable after the first time, wherein the differential pressure detection unit (5, 5A) is configured to continuously detect the differential pressures, and the life predicting unit (8, 8A) is configured to continuously obtain the remaining lives based on the continuously detected differential pressures to correct the remaining life based on the obtained results, characterized in that the life predicting unit (8, 8A) is configured to: obtain a first remaining life and a second remaining life as the remaining lives, the first remaining life indicating how long the filtration member is usable after the first time, the second remaining life indicating how long the filtration member is usable after a second time based on a second differential pressure detected by the differential pressure detection unit (5, 5A) at the second time prior to the first time and the differential pressure characteristics; and correct the differential pressure characteristics based on an elapsed time between the second remaining life and the first remaining life in the differential pressure characteristics and an elapsed time between the second time and the first time, and corrects the first remaining life based on the corrected differential pressure characteristics. obtain a first remaining life and a second remaining life as the remaining lives, the first remaining life indicating how long the filtration member is usable after the first time, the second remaining life indicating how long the filtration member is usable after a second time based on a second differential pressure detected by the differential pressure detection unit (5, 5A) at the second time prior to the first time and the differential pressure characteristics; and correct the differential pressure characteristics based on an elapsed time between the second remaining life and the first remaining life in the differential pressure characteristics and an elapsed time between the second time and the first time, and corrects the first remaining life based on the corrected differential pressure characteristics.