Remove the largest greatest common factor

To "remove the largest greatest common factor" from an expression, follow these steps:

1. **Find the greatest common factor (GCF)** of all terms in the expression.
2. **Divide each term** by this GCF, effectively "removing" it from the expression by factoring it out.

For example, if the expression is:

\[
12x + 18
\]

1. Find the GCF of \(12\) and \(18\), which is \(6\).
2. Divide each term by \(6\):  
   \[
12x + 18 = 6(2x + 3)
\]

So, the expression with the largest GCF removed is:

\[
6(2x + 3)
\]

Would you like me to provide a step-by-step explanation on finding the GCF, or do you have a specific expression in mind?

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### Related Practice Questions:
1. Factor out the GCF from \(24x^2 + 36x\).
2. Remove the GCF from \(15y^3 + 25y^2 - 10y\).
3. Factor \(30a^3b + 45ab^2 - 15a\) by removing the largest GCF.
4. Simplify by factoring out the GCF in \(8x^2 + 12x + 4\).
5. What is the GCF of \(14xy\) and \(21x^2y^3\), and how can you factor it out?

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**Tip:** The GCF of an expression with variables is found by taking the lowest power of each variable that appears in every term.

Learn how to remove the greatest common factor (GCF) from an expression with this step-by-step guide. Understand the process of finding the GCF and factoring it out to simplify algebraic expressions. Suitable for students in Grades 6-8.

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