Respuesta :

hi,
The fastest way to find the HCF of two numbers is to first prime factorise them,

200: 2*2*2*5*5
240: 2*2*2*2*3*5

Then take the common so; 2*2*2*5
which is 40

The highest common factor of 200 and 240 is 40.

Given that,

  • There are 2 numbers i.e. 200 and 240.
  • We need to find out the highest common factor.

Based on the above information, the calculation is as follows:

[tex]200 = 2\times 2\times 2\times 5\times 5\\\\240 = 2\times 2\times 2\times 2\times 3\times 5[/tex]

Now the common factor is

[tex]= 2\times 2\times 2\times 5[/tex]

= 40

Therefore we can conclude that The highest common factor of 200 and 240 is 40.

Learn more: brainly.com/question/6201432