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35 votes
35 votes
Find the GCF of each pair of monomials60p and 12

User Kelle
by
3.2k points

1 Answer

12 votes
12 votes

By definition, a monomial is a polynomial that has one term.

In this case you have these monomials:


\begin{gathered} 60p \\ 12 \end{gathered}

In order to find the Greatest Common Factor (GCF) of this pair of monomials (which is also known as Greatest Common Divisor), you can apply the steps shown below:

Step 1. You need to descompose each monomial into its prime factors, as following:


\begin{gathered} 60p=2\cdot2\cdot3\cdot5\cdot p=2^2\cdot3\cdot5\cdot p \\ 12=2\cdot2\cdot3=2^2\cdot3 \end{gathered}

Step 2. Now you must choose the common factors with the lowest exponents and then you must multiply them. The product will be the Greatest Common Factor. Then:


GCF=2^2\cdot3=4\cdot3=12

The answer is:


GCF=12

User Gilsha
by
2.8k points
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