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The greatest common factor to rewrite 13+65 as (1 + ).

User Ooo
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3 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 Greg Zimmers
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