The GCF of two numbers is 23 and their LCM is 1449. If one of the numbers is 161, find the other number.

Let x be the other
number.

Given that the GCF(  x  , 161) =
23...............(1)

Given that x and 161 has the LCM =
1449..........(2).

We know that  LCM (x , 161) =
x*161/(GCF)

So,  x*161/23 =
1449

x = 1449*23/161

x = 
207.

Threfore the other number is 
207.

Tally :

161 =
23*7

207 = 23*3*3

So the GCF =
23

LCM = 23*7*3*3 = , Considering  all the factors but
common factors for both  16 14491 and 207 only once.