GCF of 28 and 84
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 28 and 84, which is the largest number that divides both of them without leaving a remainder.
Answer
The GCF of 28 and 84 is $28$.
Answer for screen readers
The greatest common factor of 28 and 84 is $28$.
Steps to Solve
- List the Factors of Each Number
First, we will find all the factors of 28 and 84.
Factors of 28:
- 1, 2, 4, 7, 14, 28
Factors of 84:
- 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
- Identify Common Factors
Next, we will identify the factors that both numbers share.
Common factors of 28 and 84:
- 1, 2, 4, 7, 14, 28
- Determine the Greatest Common Factor
Now, we identify the greatest value from the common factors.
The greatest common factor is:
- $28$
The greatest common factor of 28 and 84 is $28$.
More Information
The greatest common factor (GCF) is useful for simplifying fractions and finding common denominators. In real-life applications, knowing the GCF can help in resource management and optimization.
Tips
- Forgetting to list all factors for each number. To avoid this, make sure to check every possible divisor.
- Including non-factors in the lists. Double-check that each number divides evenly without a remainder.
AI-generated content may contain errors. Please verify critical information
