Can you see if my answers are correct?

Directions find the GCF: (I did the factor tree for each)

40; 2^3 times 5
128; 2^7
GCF: 2

90; 3^2 times 2 times 5
105; 5 times 3 times 7
180; 3^2 times 2^2 times 5
GCF: 5

3x^3; what is that suppose to be
6x; 2 times 3
12x^2; 2^2 times 3
What is the GCF is it 3x?

3x^3; what is that suppose to be

6x; 2 times 3
12x^2; 2^2 times 3
What is the GCF is it 3x?
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3x^3; what is that suppose to be
6x; 2 times 3 times x
12x^2; 2^2 times 3 times x^2
What is the GCF is it 3x? Yes

To find the greatest common factor (GCF), you need to compare the factor trees for each set of numbers or expressions.

For the first set of numbers (40 and 128):
- The factor tree for 40 is: 2^3 * 5
- The factor tree for 128 is: 2^7

To find the GCF, you need to look for the common factors between the two numbers. In this case, the only common factor is 2 raised to the power of 3, which is 8. So, the GCF for 40 and 128 is 8, not 2.

For the second set of numbers (90, 105, and 180):
- The factor tree for 90 is: 3^2 * 2 * 5
- The factor tree for 105 is: 5 * 3 * 7
- The factor tree for 180 is: 3^2 * 2^2 * 5

To find the GCF, you need to look for the common factors between all three numbers. In this case, the common factors are only 3 and 5. The highest power of 3 is 3^2, and there is no common factor of 2 raised to the same power in all three numbers. Therefore, the GCF for 90, 105, and 180 is 3 * 5, which is equal to 15, not 5.

For the third set of expressions (3x^3, 6x, and 12x^2):
- The expression 3x^3 cannot be factored further. It represents a monomial with the variables 3 and x raised to the power of 3.
- The expression 6x is already fully factored.
- The factor tree for 12x^2 is: 2^2 * 3 * x^2

To find the GCF, you need to look for the common factors among all three expressions. In this case, there is a common factor of 3 and one power of x. Therefore, the GCF for 3x^3, 6x, and 12x^2 is 3x, not just 3.

So, in conclusion, the correct GCFs are:
- For the first set (40 and 128): GCF = 8
- For the second set (90, 105, and 180): GCF = 15
- For the third set (3x^3, 6x, and 12x^2): GCF = 3x