Given:
The two numbers are
[tex]A=23\times 3\times 5[/tex]
[tex]B=22\times 3\times 52[/tex]
To find:
The highest common factor (HCF) of A and B
Solution:
We have,
[tex]A=23\times 3\times 5[/tex] ...(i)
[tex]B=22\times 3\times 52[/tex]
All the factors of A are prime but the factors of B are not prime. So, it can be written as
[tex]B=2\times 11\times 3\times 13\times 2\times 2[/tex] ...(ii)
From (i) and (ii), it is clear that 3 is the only common factor of A and B. So,
[tex]HCF(A,B) = 3[/tex]
Therefore, the highest common factor (HCF) of A and B is 3.
