Identify the greatest common factor of 12a^4b^7 and 18a^5b^3
A. 12a^5b^7
B. 6a^4b^3
C. 12a^4b^3
D. 6a^5b^7
C. 12a^4b^3
To find the greatest common factor, we need to identify the highest power of each common factor in both terms. In this case, the common factors are 2 (from 12 and 18), a (both terms have a to the power of 4 and a to the power of 5), and b (both terms have b to the power of 3 and b to the power of 7).
Therefore, the greatest common factor is 12a^4b^3.