Chapter CSB1.2, Problem 23E

To determine

To find: The GCF of the pair of monomials $5ab,6b^2$ .

Answer to Problem 23E

  $\text{GCF}=b$

Explanation of Solution

Given information: The monomials $5ab,6b^2$

The prime factors of the monomials are,

  $\begin{array}{l}5ab=5\cdot a\cdot b\\ 6b^2=2\cdot 3\cdot b\cdot b\end{array}$

  $\therefore \text{GCF}=b$

Thus, the GCF of the monomials $5ab,6b^2$ is $b$ .