What is the GCF of 8 and 56?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 8 and 56. The GCF is the largest positive integer that divides both numbers without leaving a remainder.
Answer
The GCF of 8 and 56 is $8$.
Answer for screen readers
The greatest common factor (GCF) of 8 and 56 is $8$.
Steps to Solve
- Identify the factors of each number
To find the GCF, first, we need the factors of both numbers.
Factors of 8: 1, 2, 4, 8
Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56
- List the common factors
Next, we find the factors that both numbers share.
The common factors of 8 and 56 are: 1, 2, 4, 8
- Determine the greatest common factor
Now, we identify the largest factor from the common factors we found.
The greatest common factor is: $$ 8 $$
The greatest common factor (GCF) of 8 and 56 is $8$.
More Information
The GCF helps to simplify fractions or find common denominators. It is also useful in problem-solving scenarios such as distributing items evenly.
Tips
- Forgetting to list all factors: Always double-check to ensure that all factors are considered.
- Not identifying the greatest factor: Remember to choose the largest number from the common factors list.
