What is the GCF of 64 and 32?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 64 and 32. To solve it, we will identify the factors of both numbers and determine the largest factor that appears in both lists.
Answer
$32$
Answer for screen readers
The greatest common factor (GCF) of 64 and 32 is $32$.
Steps to Solve
- Identify the factors of each number List all the factors of 64 and 32:
- Factors of 64: 1, 2, 4, 8, 16, 32, 64
- Factors of 32: 1, 2, 4, 8, 16, 32
- Compare the factors Now, look for the common factors between the two lists:
- Common factors: 1, 2, 4, 8, 16, 32
- Identify the greatest common factor From the common factors identified, the greatest one is:
- GCF = 32
The greatest common factor (GCF) of 64 and 32 is $32$.
More Information
The GCF is the largest number that divides both numbers without leaving a remainder. It is useful in simplifying fractions and finding common denominators.
Tips
- Forgetting to include 1 as a factor of both numbers.
- Not comparing all factors carefully; ensure both lists are fully checked.
- Misidentifying the largest common factor by overlooking smaller factors.
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