GCF of 25 and 60
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 25 and 60. To solve this, we can list the factors of each number and identify the largest factor they share.
Answer
The GCF of 25 and 60 is $5$.
Answer for screen readers
The greatest common factor (GCF) of 25 and 60 is $5$.
Steps to Solve
- List the factors of 25
The factors of 25 are the numbers that can divide 25 without leaving a remainder. These are: 1, 5, 25
- List the factors of 60
Now, we will list the factors of 60. The numbers that can divide 60 without a remainder are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
- Identify the common factors
Next, we will find the factors that both numbers share. The common factors of 25 and 60 are: 1, 5
- Determine the greatest common factor
Finally, we will determine which of the common factors is the greatest. The greatest common factor (GCF) is: 5
The greatest common factor (GCF) of 25 and 60 is $5$.
More Information
The greatest common factor plays an important role in simplifying fractions and finding common denominators. Understanding GCF helps in various areas including problem-solving scenarios in real-life situations, such as distributing items evenly.
Tips
- Forgetting to consider all factors: Some may not list all the factors accurately, missing out on the greatest factor.
- Confusing GCF with least common multiple (LCM): The GCF is the largest factor shared between numbers, whereas LCM is the smallest multiple shared.
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