Chapter CSB1.2, Problem 25E

To determine

To find: The GCF of the numbers $14b$ and $56b^2$ .

Answer to Problem 25E

The GCF is $14b$ .

Explanation of Solution

Given information: The numbers given $14b$ , $56b^2$ .

Calculation:

Prime factors of $14b$ are:

  $14b=1\times 2\times 7\times b$

Prime factors of $56b^2$ are:

  $56b^2=1\times 2\times 2\times 2\times 7\times b\times b$

Greatest common factor of $14b$ , $56b^2$ is,

  $1\times 2\times 7\times b=14b$

  $\therefore$ GCF of $14b$ and $56b^2$ is $14b$ .