Question

tamir wants to rewrite 13 + 65 using the greatest common factor and the distributive property. complete the statements below. the greatest common factor of 13 and 65 is blank. tamir can use the greatest common factor to rewrite 13 + 65 as blank(1 + blank).

Explanation:

Step1: Find GCF of 13 and 65

Factors of 13: \(1, 13\)
Factors of 65: \(1, 5, 13, 65\)
Common factors: \(1, 13\), so GCF is \(13\).

Step2: Rewrite using distributive property

Factor out GCF (\(13\)) from \(13 + 65\):
\(13 = 13 \times 1\), \(65 = 13 \times 5\)
So, \(13 + 65 = 13(1 + 5)\).

Answer:

The greatest common factor of 13 and 65 is \(\boldsymbol{13}\).
Tamir can use the greatest common factor to rewrite \(13 + 65\) as \(\boldsymbol{13}(1 + \boldsymbol{5})\).