What is the GCF of 50 and 40?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 50 and 40. To find the GCF, we will look for the largest number that divides both 50 and 40 without leaving a remainder.
Answer
The GCF of 50 and 40 is $10$.
Answer for screen readers
The greatest common factor (GCF) of 50 and 40 is 10.
Steps to Solve
- List the factors of each number
We will start by listing out all the factors of both numbers individually.
Factors of 50: 1, 2, 5, 10, 25, 50
Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
- Identify the common factors
Next, we need to find the factors that both numbers share. From the lists of factors:
Common factors of 50 and 40: 1, 2, 5, 10
- Find the greatest common factor
Now, we look for the largest number in the list of common factors. The largest is:
GCF = 10
The greatest common factor (GCF) of 50 and 40 is 10.
More Information
The greatest common factor is the largest number that can evenly divide two or more numbers. In this case, both 50 and 40 can be divided by 10 without leaving a remainder. This concept is useful in simplifying fractions and finding common denominators.
Tips
- Not listing all factors: Make sure to include all factors of both numbers; missing factors leads to an incorrect GCF.
- Overlooking the largest common factor: After identifying the common factors, double-check to find the greatest one.
