Chapter 4.1, Problem 86CCR

To determine

Find the greatest common factor.

Answer to Problem 86CCR

The greatest common factor is $5$ .

Explanation of Solution

Given information: Given the pair of numbers $45\text{ and }80$

Calculation:

To get the GCF of each pair of numbers, list down their prime factors and multiply their common factors.

  $\begin{array}{l}45=5\times 3\times 3\mathrm{.....}\left(1\right)\\ 80=5\times 2\times 2\times 2\times 2\mathrm{.....}\left(2\right)\end{array}$

Note that the common factors of this pair of numbers are $5;$

Therefore, its GCF is $5.$

Thus, the greatest common factor is $5$ .