Answer:
3a²b²c
Step-by-step explanation:
To find the greatest common factor, we need to write the factors of each expression, so we can rewrite the expressions as:
6a³b²c = 3 · 2 · a · a · a · b · b · c
15a²b²c = 3 · 5 · a · a · b · b · c
Now, we can see that the common factors are
3 · a · a · b · b · c
Where the a and b appear two times because they appear twice in both expressions.
Therefore, the greatest common factor is:
3 · a · a · b · b · c = 3a²b²c