244,739 views
23 votes
23 votes
The greatest common factor to rewrite 13+65 as (1 + ).

User LisaJ
by
2.8k points

1 Answer

17 votes
17 votes

Answer:

13

Explanation:

You want the greatest common factor (k) that allows you to rewrite 13+65 as k(1 + __).

Distributive property

The distributive property tells you that the expression ...

k(1 +a)

expands to ...

k +ka.

Comparing this to 13 +65, we see k = 13, and a = 65/13 = 5.

The greatest common factor is 13.

The rewritten expression is ...

13 +65 = 13(1 +5)

__

Additional comment

As we show here, the fact that you end up with 1+ inside parentheses tells you that the first number (13) is the greatest common factor.

User Zorza
by
2.6k points