What is the GCF of 20 and 100?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 20 and 100. To find the GCF, we need to identify the largest integer that divides both numbers without leaving a remainder.
Answer
$20$
Answer for screen readers
The greatest common factor (GCF) of 20 and 100 is $20$.
Steps to Solve
- List the factors of each number
Start by identifying the factors of both 20 and 100.
For 20, the factors are: 1, 2, 4, 5, 10, 20
For 100, the factors are: 1, 2, 4, 5, 10, 20, 25, 50, 100
- Identify the common factors
Next, look for the factors that both 20 and 100 share.
Common factors of 20 and 100: 1, 2, 4, 5, 10, 20
- Determine the greatest common factor
Finally, find the largest number among the common factors.
The greatest common factor (GCF) is 20.
The greatest common factor (GCF) of 20 and 100 is $20$.
More Information
The greatest common factor is the largest integer that can divide both numbers without leaving a remainder. In this case, since 20 divides 100 exactly, it's the highest factor common to both numbers.
Tips
- Forgetting to list all the factors can lead to missing the GCF.
- Incorrectly assuming that the smallest factor (other than 1) is the GCF without checking all factors.
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