Question

Common factor of 17abc,and 51a2bc is

Answer 1

17abc

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:

`17\cdot a\cdot b\cdot c\\3\cdot17\cdot a\cdot a\cdot b\cdot c`

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.