Option A
The greatest common factor is 4ab
Solution:
Given that,
We have to find the greatest common factor
[tex]12ab^2c^4+20a^4bc^3+16a^3b[/tex]
First find the GCF of numbers
GCF of 12, 20, 16
The factors of 12 are: 1, 2, 3, 4, 6, 12
The factors of 16 are: 1, 2, 4, 8, 16
The factors of 20 are: 1, 2, 4, 5, 10, 20
Then the greatest common factor is 4
Now find the GCF of variables
[tex]ab^2c^4\\\\a^4bc^3\\\\a^3b[/tex]
Here,
ab is the greatest common factor
Therefore, GCF of variables is ab
Thus, GCF of given expression is: 4ab