What is the GCF of 24 and 44?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 24 and 44. To find the GCF, we need to identify the largest number that divides both 24 and 44 without leaving a remainder.
Answer
The GCF of 24 and 44 is $4$.
Answer for screen readers
The greatest common factor (GCF) of 24 and 44 is $4$.
Steps to Solve
- List the Factors of Each Number
First, we will find the factors of both numbers individually.
- Factors of 24: $1, 2, 3, 4, 6, 8, 12, 24$
- Factors of 44: $1, 2, 4, 11, 22, 44$
- Identify the Common Factors
Next, we look for the factors that are common to both lists.
- Common factors of 24 and 44: $1, 2, 4$
- Determine the Greatest Common Factor
From the list of common factors, we now find the largest one.
- The greatest common factor is $4$.
The greatest common factor (GCF) of 24 and 44 is $4$.
More Information
The greatest common factor is useful in simplifying fractions and finding common denominators. Notably, the GCF can be found not only through listing factors but also using the prime factorization method.
Tips
- Forgetting to list all factors correctly can lead to an incorrect GCF. Ensure each factor is checked.
- Not identifying the greatest factor among the common ones. It's important to select the largest.
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