**What is the GCF of 30 and 54? : **When solving math problems, especially when dealing with factors, the **GCF** (Greatest Common Factor) is an important concept to know. Let’s break it down simply to find the **GCF of 30 and 54**.

## What is the GCF?

The **Greatest Common Factor (GCF)** is the largest number that divides two or more numbers without leaving a remainder. In this case, we’re looking for the greatest factor that both 30 and 54 share.

## Steps to Find the GCF of 30 and 54

To find the **GCF** of 30 and 54, follow these simple steps:

### Step 1: List the Factors of Each Number

First, list all the factors of both 30 and 54.

- Factors of 30:
**1, 2, 3, 5, 6, 10, 15, 30** - Factors of 54:
**1, 2, 3, 6, 9, 18, 27, 54**

### Step 2: Identify the Common Factors

Now, identify the factors that are common to both 30 and 54.

- Common factors:
**1, 2, 3, 6**

### Step 3: Choose the Greatest Common Factor

The largest (or greatest) number in the list of common factors is the **GCF**.

- The greatest common factor of 30 and 54 is
**6**.

### Final Answer:

The **GCF of 30 and 54 is 6**.

### Why is the GCF Important?

Understanding how to find the GCF helps simplify fractions, solve problems with ratios, and is useful in real-world situations like dividing objects evenly.

### Quick Recap:

- Factors of 30:
**1, 2, 3, 5, 6, 10, 15, 30** - Factors of 54:
**1, 2, 3, 6, 9, 18, 27, 54** **Common factors**:**1, 2, 3, 6****GCF**:**6**

With these easy steps, you can find the GCF of any two numbers.