Find the GCF of 45g+30h.(1 point)
$$
The GCF of 45g and 30h is 15.
To find the Greatest Common Factor (GCF) of a given expression, we need to factor out common terms and find the highest exponent of each common term.
Let's first look at the expression 45g + 30h.
The equation has two terms, 45g and 30h. To find the GCF, we need to determine the largest factor that is common to both 45g and 30h.
First, let's look at the coefficients, 45 and 30. The common factors of 45 and 30 are 1, 3, 5, 15, and 30.
Next, let's consider the variables g and h. Since there is no common factor between g and h, we cannot find a common factor in terms of variables.
Therefore, the GCF of 45g + 30h is 15.
Thus, the GCF of 45g + 30h is 15.
To find the greatest common factor (GCF) of the terms 45g and 30h, we need to determine the highest power of each variable that can divide both terms evenly.
Let's start by factoring out the numerical coefficients 45 and 30. We can see that both 45 and 30 are divisible by 15, so we can factor out 15.
Next, let's consider the variables g and h. Both terms contain a g and an h. In order to find the highest power that can divide both terms, we need to look at the lowest exponent for each variable. In this case, both g and h have an exponent of 1, so we can factor out g and h.
Putting it all together, the GCF of 45g and 30h is:
GCF = 15gh
Therefore, the GCF of 45g + 30h is 15gh.