Tuesday, October 7, 2008

Factors and Greatest Commen Factor (GCF)

To begin, a factor is a number that can divide into a number exept for 1 and itself.
For example, here are the factors of 10 and 20
20:1,2,4 5,10,20
10:1,2 5,10
Then to get to my next idea, the GCF for 10 and 20 is 10 because in my example above, 10 is in each number.
The least commen factors of 10 and 20 is 2 because that is the number that shows up in each number. Now, i was asking myself "why wouldn't it be 1?" The answer to that is: 1 can be multiplied or divided into every number, so it would be obvious that everty single LCF would be 1. All the time.
Another explanation is one of two or more quantities that divides a given quantity without a remainder. For example, 2 and 3 are factors of 6; a and b are factors of ab.

1 comment:

oroarkclass said...

Good! - I like you definition and your explanation. Technically the LCF would be 1, but we never use that. We just use the GCF. Try adding a link next time - I'm pretty sure you got that last part from another site - just let us see the site too :).