gcf of 8 and 50
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 8 and 50. To find the GCF, we will identify the factors of both numbers and determine the largest factor that they have in common.
Answer
The greatest common factor (GCF) of 8 and 50 is $2$.
Answer for screen readers
The greatest common factor (GCF) of 8 and 50 is $2$.
Steps to Solve
- Identify the factors of 8
The factors of 8 are the numbers that can multiply together to give 8. These factors are:
- 1
- 2
- 4
- 8
- Identify the factors of 50
Next, we find the factors of 50, which are:
- 1
- 2
- 5
- 10
- 25
- 50
- List the common factors
After identifying the factors of both numbers, we list the factors to find the common ones.
- Factors of 8: {1, 2, 4, 8}
- Factors of 50: {1, 2, 5, 10, 25, 50}
The common factors are:
- 1
- 2
- Determine the greatest common factor
Out of the common factors, we identify the greatest one, which is 2.
The greatest common factor (GCF) of 8 and 50 is $2$.
More Information
The GCF is useful in simplifying fractions and solving problems involving divisibility. It represents the largest number that can evenly divide two or more numbers.
Tips
- Confusing factors with multiples; make sure to list factors correctly.
- Not checking all possible factors resulting from division.
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