Question

find the largest number that divides each one of 1152 and 1664 exactly

Answer 1

Hiii friend,

Prime factorisation of 1152 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3

Prime factorisation of 1664 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13


HCF of 1152 and 1664 = 2 × 2 × 2 × 2 × 2 × 2 × 2 = 128


Required largest Number = HCF of 1152 and 1664 is 128



HOPE IT WILL HELP YOU....... :-)