What is the greatest common factor of 30 and 80?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 30 and 80, which is the largest number that divides both 30 and 80 without leaving a remainder.
Answer
10
Answer for screen readers
The greatest common factor (GCF) of 30 and 80 is 10.
Steps to Solve
- List the Factors of Each Number
Start by finding all the factors of 30 and 80.
- Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
- Factors of 80: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
- Identify Common Factors
Next, look for the factors that both numbers share.
- Common factors of 30 and 80: 1, 2, 5, 10
- Determine the Greatest Common Factor
Finally, among the common factors, identify the largest one.
- The greatest common factor is 10.
The greatest common factor (GCF) of 30 and 80 is 10.
More Information
The GCF is useful in simplifying fractions, finding common denominators, and solving problems involving divisibility. The process of finding the GCF can also be applied to larger sets of numbers and is a key skill in number theory.
Tips
- Confusing the GCF with the least common multiple (LCM), which serves a different purpose.
- Forgetting to list all factors accurately, which can lead to an incorrect GCF.
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