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.