Question

6.A = 23 × 3 × 5 B = 22 × 3 × 52

Write down the highest common factor (HCF) of A and B.Required to answer. Single line text.
(1 Point)

Answer 1

Given:

The two numbers are

`A=23* 3* 5`

`B=22* 3* 52`

To find:

The highest common factor (HCF) of A and B

Solution:

We have,

`A=23* 3* 5` ...(i)

`B=22* 3* 52`

All the factors of A are prime but the factors of B are not prime. So, it can be written as

`B=2* 11* 3* 13* 2* 2` ...(ii)

From (i) and (ii), it is clear that 3 is the only common factor of A and B. So,

`HCF(A,B) = 3`

Therefore, the highest common factor (HCF) of A and B is 3.