gcf of 100 and 16
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 100 and 16. To solve it, we will determine the factors of each number and find the largest factor they have in common.
Answer
The greatest common factor of 100 and 16 is $4$.
Answer for screen readers
The greatest common factor of 100 and 16 is $4$.
Steps to Solve
- Find the factors of 100
To start, we will list out all the factors of 100.
The factors of 100 are: 1, 2, 4, 5, 10, 20, 25, 50, 100.
- Find the factors of 16
Next, we will list out the factors of 16.
The factors of 16 are: 1, 2, 4, 8, 16.
- Identify the common factors
Now we will compare the factors of 100 and 16 to find the common factors.
The common factors are: 1, 2, and 4.
- Determine the greatest common factor (GCF)
Finally, we will select the largest factor from the common factors we identified.
The greatest common factor (GCF) is 4.
The greatest common factor of 100 and 16 is $4$.
More Information
The GCF is important in simplifying fractions and solving problems involving ratios. It can help in understanding how numbers relate to each other.
Tips
One common mistake is forgetting to list all factors of each number, which can lead to missing common factors. Always double-check your factor lists!
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