gcf 18 24
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 18 and 24, which is the largest number that divides both of them without leaving a remainder.
Answer
The GCF of 18 and 24 is $6$.
Answer for screen readers
The greatest common factor (GCF) of 18 and 24 is $6$.
Steps to Solve
- List the factors of each number
First, let's find the factors of 18 and 24.
Factors of 18: 1, 2, 3, 6, 9, 18
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
- Identify the common factors
Next, we look for the factors that both numbers share.
Common factors of 18 and 24: 1, 2, 3, 6
- Find the greatest common factor
Now, we identify the largest of the common factors.
The greatest common factor (GCF) is 6.
The greatest common factor (GCF) of 18 and 24 is $6$.
More Information
The GCF is useful in simplifying fractions and is applied in many areas of mathematics, including algebra and number theory. The GCF can also help in finding common denominators when adding fractions.
Tips
- Failing to list all factors: Make sure to list all factors accurately to find the correct GCF.
- Confusing GCF with least common multiple (LCM): Remember that GCF is the largest factor common to both numbers, while LCM is the smallest multiple common to both numbers.
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