What is the GCF of 16 and 44?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 16 and 44. This involves finding the largest integer that divides both numbers without leaving a remainder.
Answer
The greatest common factor (GCF) of 16 and 44 is \( 4 \).
Answer for screen readers
The greatest common factor (GCF) of 16 and 44 is ( 4 ).
Steps to Solve
- List the Factors of Each Number
First, we will find all the factors of each number.
For 16, the factors are: 1, 2, 4, 8, 16.
For 44, the factors are: 1, 2, 4, 11, 22, 44.
- Identify Common Factors
Next, we will identify which factors are common to both numbers.
The common factors between 16 and 44 are: 1, 2, 4.
- Find the Greatest Common Factor
Now, we will determine the greatest factor from the common factors identified.
The greatest common factor (GCF) is: $$ 4 $$
The greatest common factor (GCF) of 16 and 44 is ( 4 ).
More Information
The greatest common factor is useful in simplifying fractions, finding common denominators, and solving various mathematical problems involving divisibility.
Tips
- Confusing GCF with Least Common Multiple (LCM). Remember that GCF is the largest factor shared, while LCM is the smallest multiple shared.
- Not listing all factors correctly. It’s important to ensure all factors are considered in order to accurately find the GCF.
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