Question

What is the largest number that divides each one of 1152 and 1664 exactly?

Answer 1

Largest number which divides each one of 1152 and 1664 is HCF (1152, 1664).

Write 1152 and 1664 in prime factorization, we get

1152 = 3 × 3 × 128 = 3² × 2⁷ .

And 1664 = 13 × 2⁷ .

∴ HCF (1152, 1664) = 2⁷ = 128.

Hence, the largest number which divides each one of 1152 and 1664 is 128.