What is the GCF of 8 and 32?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 8 and 32. To find the GCF, we will look for the largest number that divides both 8 and 32 without leaving a remainder.
Answer
The GCF of 8 and 32 is $8$.
Answer for screen readers
The greatest common factor (GCF) of 8 and 32 is $8$.
Steps to Solve
- List the factors of each number
First, we need to find the factors of both numbers.
The factors of 8 are: $1, 2, 4, 8$
The factors of 32 are: $1, 2, 4, 8, 16, 32$
- Identify the common factors
Next, we identify the factors that both numbers share.
Common factors of 8 and 32 are: $1, 2, 4, 8$
- Find the greatest common factor
Now, we take the largest common factor identified in the previous step.
The greatest common factor (GCF) is: $8$
The greatest common factor (GCF) of 8 and 32 is $8$.
More Information
The greatest common factor is useful in various mathematical contexts, such as simplifying fractions, finding common denominators, and in number theory.
Tips
- Confusing common factors with any factors. Remember to only identify those factors shared by both numbers.
- Forgetting to check all factors of both numbers, especially with larger numbers.
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