The Highest Common Factor (HCF), also known as the Greatest Common Factor (GCF), of 24 and 40 is 8.
Understanding HCF
The HCF of a set of numbers is the largest positive integer that divides into all the numbers in the set without leaving a remainder. Finding the HCF helps in simplifying fractions or solving problems involving division into equal groups.
Finding the HCF of 24 and 40
One way to find the HCF is by listing the common factors of the numbers and identifying the largest one.
According to the information provided from a Cuemath reference, the common factors of 24 and 40 are listed as 1, 2, 4, and 8.
Let's verify these factors:
- Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
- Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
Comparing these lists, the factors that appear in both lists (common factors) are indeed:
- 1
- 2
- 4
- 8
As stated in the reference, the common factors are 1, 2, 4, and 8. Among these common factors, the largest number is 8.
Therefore, the greatest common factor (HCF) of 24 and 40 is 8.
| Number | HCF |
|---|---|
| 24 & 40 | 8 |
This confirms that 8 is the exact answer for the HCF of 24 and 40.
