Work out the hcf of 600 and 1050

The greatest common factor of 600 and 1050 is 150.

You can factor each: 600=100*6=2^2*5^2*2*3 = 2^3*5^2*3

1050=70*15=5*2*7*5*3=2*3*5^2*7

The greatest common factor is 2*3*5^2=6*25=150

Side Note: Usually, what say gcf instead of hcf, which means highest common factor. gcf is a more common way to say the factor that two numbers share that is greatest in value. gcf means greatest common factor.