What is the GCF of 40 and 25?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 40 and 25, which involves finding the largest number that divides both of them without any remainder.
Answer
The GCF of 40 and 25 is $5$.
Answer for screen readers
The greatest common factor of 40 and 25 is $5$.
Steps to Solve
- List the factors of each number
First, we will find all the factors of the two numbers, 40 and 25.
- The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40
- The factors of 25 are: 1, 5, 25
- Identify the common factors
Next, we list the common factors of both numbers. A common factor is a number that divides both original numbers without a remainder.
The common factors of 40 and 25 are: 1, 5.
- Find the greatest common factor
Now, we need to identify the greatest common factor (GCF) from the common factors we found.
The greatest common factor is: 5.
The greatest common factor of 40 and 25 is $5$.
More Information
The greatest common factor is a key concept in number theory, as it helps to simplify fractions and solve problems involving divisibility. The GCF can also aid in factoring polynomials.
Tips
- Forgetting to list all factors: It's important to ensure you identify every factor of both numbers.
- Confusing common factors with greatest common factors: Remember, we only want the largest factor that they share.
