Verified Answer :

2a
i need to have an answer at least 20 characters long so i'm writing this.

Answer:

\(2a\)

Step-by-step explanation:

We are asked to find GCF of \(18a\) and \(20ab\).

We can see that GCF of \(a\text{ and }ab\text{ is }a\).

Let us find greatest common factor of 18 and 20.

Factors of 20: 1, 2, 4, 5, 10, 20

Factors of 18: 1, 2, 3, 6, 9, 18.

We can see that GCF of 20 and 18 is 2.

Upon combining GCF of numerical part and variable part we will get: \(2a\)

Therefore, the greatest common factor of both expression is \(2a\).