Question

Find the greatest common factor between:

13xyz, 39x

a
39xy

b
3xy

c
13x

Answer 1

To find the greatest common factor (GCF) between \( 13xyz \) and \( 39x \), we will first factor both terms:

1. The term \( 13xyz \) can be factored as:
- \( 13 \cdot x \cdot y \cdot z \)

2. The term \( 39x \) can be factored as:
- \( 39 = 3 \cdot 13 \), so we can write it as:
- \( 3 \cdot 13 \cdot x \)

Now we can determine the GCF:

- The common factors from \( 13xyz \) and \( 39x \) are:
- \( 13 \)
- \( x \)

Therefore, the GCF of \( 13xyz \) and \( 39x \) is:
- \( 13x \)

Now, let's check which option among the provided choices matches \( 13x \):

a) \( 39xy \)
b) \( 3xy \)
c) \( 13x \)

The correct answer is:
**c) 13x**