What is the greatest common factor of 56 and 92?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the two numbers 56 and 92. To solve this, we will find the factors of both numbers and determine the largest one that they have in common.
Answer
The GCF of 56 and 92 is $4$.
Answer for screen readers
The greatest common factor (GCF) of 56 and 92 is $4$.
Steps to Solve
- Find the factors of 56
First, we will find all the factors of 56. The factors are the numbers that can divide 56 without leaving a remainder. The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, 56.
- Find the factors of 92
Next, we will find all the factors of 92 in the same way. The factors of 92 are: 1, 2, 4, 23, 46, 92.
- Identify the common factors
Now we look for the factors that both numbers share. From the factors of 56 and 92, the common factors are: 1, 2, 4.
- Determine the greatest common factor
Finally, we need to find the largest of the common factors. The largest common factor we found is 4.
The greatest common factor (GCF) of 56 and 92 is $4$.
More Information
The GCF of two numbers is significant in simplifying fractions and finding common denominators. It can also help in reducing ratios to their simplest form.
Tips
- Not listing all factors: It's easy to miss some factors, so double-check your list.
- Misidentifying common factors: Ensure you are only considering factors common to both numbers.
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