00:01
So for this question, we want to find the greatest common factor of a set of numbers using continuous division.
00:06
So let's look at our first set here.
00:07
Our first set would be 12 and 16.
00:13
And so for this, i'm going to set this off.
00:16
And i notice that each is even.
00:17
Each has a factor of two.
00:19
So i'll go ahead and write a two here.
00:21
All right.
00:22
Well, 12 divided by 2 is 6 and 16 divided by 2 is 8.
00:28
Well, 6 and 8 still have a common factor of 2.
00:31
So i'll go ahead and divide out another two, and that six divided by two is three, and eight divided by two is four, and three and four have no common factors other than one.
00:44
So our greatest common factor for this one is going to be the product of two and two.
00:55
So two times two or four.
00:58
So our gcf there is four.
01:01
All right.
01:02
Let's look at a second one here.
01:05
So our second one here is 18.
01:10
24 and 36 and again i'll do the same thing i'll note that hey they're all even so i can take out a factor of two so 18 divided by two is nine 24 divided by two is 12 and 36 divided by two is 18 and now i have 9 12 and 12 and 18 nine is no longer even so i can't take another two out but nine 12 and 18 each have a common factor of three and so nine divided by three is 3, 12 divided by 3 is 4, and 18 divided by 3 is 6.
01:56
And 3, 4, and 6 have no common factors other than 1.
02:01
So again, here my gcf is going to be made up by this product.
02:06
So my gcf here is 2 times 3, which is 6.
02:14
Let me scroll down here a little bit more to get the next set.
02:23
And set number 3 is 8, 30, and 40...