Chapter CSB1.3, Problem 13E

To determine

Tofind:The GCF on given monomials.

Answer to Problem 13E

The GCF of $14$ and $28$ is $14$ .

Explanation of Solution

Given information:

The given monomials are $14$ and $28$ .

Formulaused:

The greatest number or expression which is a factor of two (or more) other numbers or polynomials is known as Greatest Common Factors (GCF). To find the GCF we find all the factors of two or more polynomials, and choose factors that are the common, and then the product of common factors is the GCF.

Calculations:

The given monomials are $14$ and $28$ .

The factors of given monomials are

  $14=2\times 7$

  $28=2\times 2\times 7$

The common factors of $14$ and $28$ are 2and 7.

Hence, the GCF of $14$ and $28$ is $2\times 7=14$

Conclusion:

The GCF of $14$ and $28$ is $14$ .