INTRO

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A factor is a number that fits evenly into a given number.

GCD is the same thing as GCF. It tells us the largest number two or more numbers can be evenly divided by.Check out our or explore our and sections to learn more about how to find the greatest common factor and test your understanding.

Factors always come in pairs consisting of the factor and the number of times it fits evenly into the given number.

It's like we're dividing candy up - the factors are the number of people we can divide the candy equally among and the number of pieces each person gets.

Click on the buttons below to see the factors and factor pairs of $24$:

Factors of

$24$

:$1$ fits evenly into $24$ $24$ times.

The

__G__reatest__C__ommon__F__actor (GCF) is the largest factor two or more numbers have in common.Factors of $24$ | $1,2,4,6,8,12,24$ |

Factors of $36$ | $1,2,3,4,6,9,12,18,36$ |

When we organize the factors from least to greatest, we can easily see that the GCF of $24$ and $36$ is $12$.

### Greatest Common Divisor (GCD)

Calculator

Lesson

Practice

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CALCULATOR

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## GCF Calculator

KEY STEPS

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## How to Find the GCF

### Step 1. Remember what a factor is.

A factor is a number that fits evenly into another number.

### Step 2. Find the factors of the first number.

We’re looking for every number that fits evenly into the first number.

### Step 3. Find the factors of the second number.

We’re looking for every number that fits evenly into the second number.

### Step 4. Find the greatest common factor.

This is the largest factor the two numbers have in common.

LESSON

— Finding the GCF

## Finding the GCF

A factor is a number that fits evenly into a given number.Factors always come in pairs consisting of the factor and the number of times it fits evenly into the given number.

In other words, factors are pairs of numbers we can multiply together to form a given number.

$factor×factor=given number$

When we have two or more given numbers, we can compare their factors to see which ones they have in common.

The largest factor they share is called the

__G__reatest__C__ommon__F__actor (GCF).### What is the difference between GCF and LCM?

Greatest Common Factor (GCF) | Least Common Multiple (LCM) |

Largest factor two or more numbers have in common. | Smallest multiple two or more numbers have in common. |

Example: GCF of $6$ and $9$ is $3$. Factors of $6$: $1,2,3,6$ Factors of $9$: $1,3,9$ | Example: LCM of $6$ and $9$ is $9$. Multiples of $6$: $6,12,18,24,...$ Multiples of $9$: $9,18,27,36,...$ |

### GCF & Fractions

PRACTICE

— Finding the GCF

## Practice: Finding the GCF

Question 1 of 10: Find the GCF of 9 and 12.

### Step 1. Remember what a factor is.

A factor is

CONCLUSION

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