Question

Find the GFC of 30m + 12n

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the greatest common factor (GCF) of 30m and 12n, we need to determine the common factors of the two terms and then find the largest one.

First, we can find the factors of 30: 1, 2, 3, 5, 6, 10, 15, and 30.

Next, we can find the factors of 12: 1, 2, 3, 4, 6, and 12.

Since we need both 30 and 12 to be factors, we can only consider the factors 1, 2, 3, and 6.

Now we need to determine if either m or n is a factor. Since both terms have "m" and "n," they are already the same and no additional factors need to be considered.

Finally, we look for the highest common factor among the common factors: 1, 2, 3, and 6. The greatest common factor of 30m and 12n is 6.

Therefore, the GCF of 30m + 12n is 6.