# What Is The Greatest Common Factor Of 16 And 12?

The greatest common factor (GCF) of two numbers is the largest number that is a factor of both numbers. Factors are the numbers that divide evenly into a larger number. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12. To find the GCF of two numbers, you must first identify the factors of both numbers. After you have identified the factors of both numbers, you must compare them and find the largest number that is common to both. The largest common factor is the GCF of the two numbers.

## Finding the Factors of 16 and 12

The first step in finding the GCF of 16 and 12 is to list the factors of each number. The factors of 16 are 1, 2, 4, 8, and 16. The factors of 12 are 1, 2, 3, 4, 6, and 12. Notice that 4, 8, and 16 are found in both lists. This means that 4 is the largest common factor of 16 and 12, and it is the greatest common factor of the two numbers.

## What is the Greatest Common Factor of 16 and 12?

The greatest common factor of 16 and 12 is 4. This means that 4 is the largest number that is a factor of both 16 and 12. 4 is the only number that is a factor of both 16 and 12, so it is the greatest common factor. Knowing this number is helpful in many areas of math, such as simplifying fractions and solving equations.

### How to Use the Greatest Common Factor of 16 and 12

The greatest common factor of 16 and 12 can be used in a variety of ways. One of the most common uses is to simplify fractions. For example, if you have the fraction 8/12, the GCF of 8 and 12 is 4. This means that you can divide both the numerator and denominator by 4. This simplifies the fraction to 2/3. The GCF can also be used to solve algebraic equations. For example, if you have the equation 16x + 12y = 24, you can divide both sides of the equation by 4 to get 4x + 3y = 6. This makes the equation much easier to solve.

### Conclusion

The greatest common factor of 16 and 12 is 4. This is the largest number that is a factor of both 16 and 12. Knowing the GCF of two numbers can be useful in a variety of areas, such as simplifying fractions and solving equations. Now that you know the GCF of 16 and 12, you can use it to quickly solve a variety of math problems!