College Algebra CLEP Prep Practice Exam

What is the greatest common factor of 12a^4b^5 and 15a^2b^3?

1. 3a^2b^2

2. 3a^2b^3

3. 3a^3b^2

4. 3ab^2

The correct answer is: 3a^2b^3

The greatest common factor is the highest number or variable that can divide into both terms evenly. In this case, the common factor is 3a^2b^3 because it can divide into both terms, 12a^4b^5 and 15a^2b^3, with no remainder. Option A is incorrect because it is missing the b^3 term, which is important as it is present in both terms. Option C is incorrect because it does not have the correct combination of variables and exponents. Option D is incorrect because it is missing the a^2 term, which is necessary for it to be a common factor.