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The highest common factor or greatest common factor is the product of the shared primes in the numbers prime factorization....

200=2*2*2*5*5,   240=2*2*2*2*3*5

The shared primes are 2*2*2*5 and its product is 40

So 40 is the greatest common factor...

40 is the HCF of 200 and 240.

The highest common factor (HCF) is found by finding all common factors of two numbers and selecting the largest one.

Factor the given numbers as-

[tex]200=2\times 2\times2\times 5\times 5\\240=2\times 2\times 2\times 2\times 3\times 5[/tex]

The shared primes are 2,2,2,5 and the highest common factor is evaluated as  [tex]2\times 2\times 2\times 5=40[/tex]

Hence, 40 is the HCF of 200 and 240.

Learn more about HCF here:

https://brainly.com/question/17240111