If you want every piece you cut equal to the same length, you are talking about the GCF because both ropes have to be cut in such a way that all parts of the whole set of ropes are the same size.
Prime Factors of 84 and 116
84: 2 * 2 * 3 * 7
116: 2 * 2 * 29
The two 2s are all that is common.
So that means that the 84 inch length will give you 21 lengths that are 4 inches long and the 116 inch length will give you 29 lengths that are 4 inches long.
In this problem, we are trying to find the greatest common factor, or the greatest amount that both values share. To find this, we will need to factor our values though prime factorization:
We can see that the greatest value that we can find in both numbers is , or 4, meaning our answer is 4 inches.
The difference between 79 and 22 is 57. 79 is THE number. All you have to do is add 22 and 57 because the answer you get would ALWAYS have one of the numbers added as the difference.
