What is the GCF of 100 and 25?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 100 and 25. This involves identifying the largest number that divides both values without leaving a remainder.
Answer
The GCF of 100 and 25 is $5$.
Answer for screen readers
The greatest common factor (GCF) of 100 and 25 is $5$.
Steps to Solve
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Identify the factors of each number
First, we need to find the factors of both numbers, which are the integers that can divide each number without leaving a remainder.
For 100: The factors are 1, 2, 4, 5, 10, 20, 25, 50, and 100.
For 25: The factors are 1, 5, and 25.
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List the common factors
Next, we will look for common factors between the two lists we’ve created.
The common factors of 100 and 25 are 1, 5.
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Identify the greatest common factor (GCF)
Now, we need to determine the largest common factor we found from step 2.
From the common factors, the greatest one is 5.
The greatest common factor (GCF) of 100 and 25 is $5$.
More Information
The GCF is often used in simplifying fractions and solving problems involving ratios. It can also be useful in finding the least common multiple (LCM) of two numbers.
Tips
- Forgetting to list all factors. Always ensure you identify all factors before deciding on common factors.
- Confusing the GCF with the least common multiple (LCM). Remember, GCF is about the greatest shared factor, while LCM is the smallest multiple shared between the numbers.
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