Respuesta :

Answer: The highest common factor of 600 and 1050 is 150.

Explanation:

Highest common factor of two number is a highest number that can divides both numbers completely.

The factors of 600 are 2, 3, 4, 5 and 5. So 600 can be written as,

[tex]600=2\times3\times4\times5\times5[/tex]

The factors of 1050 are 2, 3, 5, 5 and 7. So 1050 can be written as,

[tex]600=2\times3\times5\times5\times7[/tex]

It is notices that from both numbers 2, 3, 5 and 5 are common., So the highest common factor can be written as,

[tex]HCF=2\times3\times5\times5=150[/tex]

Therefore the highest common factor of 600 and 1050 is 150.

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