Question

Please help me. Find the GCF of this question listed below.

Answer 1

we have the expressions

`\begin{gathered} 3x^3y^5z \\ 21xy^3z^4 \end{gathered}`

so

The GCF =(3)(x)(y^3)(z)

therefore

`GCF=3xy^3z`

Remember that

The GCF is the largest positive integer that divides evenly into all numbers with zero remainder

so

To find out the GCF between two expressions, find out the prime factors

so

3x^3y^5z=(3)(x)(x)(x)(y)(y)(y)(y)(y)(z)

21xy^3z^4=(3)(7)(x)(y)(y)(y)(z)(z)(z)(z)

Select common factors with the smaller exponent

so

(3)(x)(y)(y)(y)(z)

GCF=3xy^3z