GCF of 80 and 30
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 80 and 30, which involves determining the largest factor that both numbers share.
Answer
The greatest common factor (GCF) of 80 and 30 is 10.
Answer for screen readers
The greatest common factor (GCF) of 80 and 30 is 10.
Steps to Solve
- List the Factors of Each Number
First, let's list the factors for both 80 and 30.
- Factors of 80: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
- Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
- Identify the Common Factors
Next, we find the common factors in both lists.
The common factors of 80 and 30 are: 1, 2, 5, 10.
- Determine the Greatest Common Factor
Now, we identify the greatest of the common factors.
The greatest common factor is 10.
The greatest common factor (GCF) of 80 and 30 is 10.
More Information
The GCF is useful in simplifying fractions and is also applied in finding common denominators in addition or subtraction of fractions. In this case, the GCF of 10 shows that both numbers can be divided evenly by this value.
Tips
- Overlooking Factors: Sometimes, people might forget to include all factors. It's essential to list all possible factors clearly.
- Calculating with Prime Factorization: If using prime factorization, ensure accuracy in the breakdown of each number, as mistakes in this process can lead to incorrect GCF.
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