What is the GCF of 30 and 80?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 30 and 80. To solve this, we will find the factors of both numbers and identify the highest factor they have in common.
Answer
The GCF of 30 and 80 is 10.
Answer for screen readers
The greatest common factor (GCF) of 30 and 80 is 10.
Steps to Solve
- Find the factors of 30
The factors of 30 are the numbers that divide it evenly. The factors are: 1, 2, 3, 5, 6, 10, 15, and 30.
- Find the factors of 80
The factors of 80 are the numbers that divide it evenly. The factors are: 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80.
- Identify the common factors
Now, let's list the factors of both numbers and identify the common factors.
- Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
- Factors of 80: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
The common factors are: 1, 2, 5, and 10.
- Determine the greatest common factor
The greatest common factor (GCF) is the largest number from the common factors we just found. The largest common factor is 10.
The greatest common factor (GCF) of 30 and 80 is 10.
More Information
The GCF is useful in simplifying fractions and finding common denominators. An important rule of thumb is that the GCF of two numbers helps in understanding their divisibility properties and relationships.
Tips
- Forgetting to list all factors: Make sure to find all factors of each number to ensure you have all common factors.
- Misidentifying common factors: Double-check the common factors to ensure you have identified them correctly.
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