Answer:
17abc
Step-by-step explanation:
To find the greatest common factor between 17abc and 51a²bc, let's start by breaking down any composite number here into prime factors. 17 is prime, but 51 is composite; its prime factorization is 3 · 17. Now, let's fully expand each term:
[tex]17\cdot a\cdot b\cdot c\\3\cdot17\cdot a\cdot a\cdot b\cdot c[/tex]
The greatest common factor is the product of all the factors these terms have in common. Here, we can see that they have
- One 17
- One a
- One b, and
- One c
in common. Multiplying these together, the greatest common factor is 17abc.
