Question

6.A = 23 × 3 × 5 B = 22 × 3 × 52

Answer 1

Given:

The two numbers are

$A=23\times 3\times 5$

$B=22\times 3\times 52$

To find:

The highest common factor (HCF) of A and B

Solution:

We have,

$A=23\times 3\times 5$               ...(i)

$B=22\times 3\times 52$

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

$B=2\times 11\times 3\times 13\times 2\times 2$          ...(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.