The greatest common factor (GCF) of a pair of numbers is the largest number that can divide both numbers without leaving a remainder. To find pairs of numbers with a GCF of 8, we can start by looking at multiples of 8.
For example, consider the pair of numbers 16 and 24:
- Factors of 16: 1, 2, 4, 8, 16
- Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
The common factors of 16 and 24 are 1, 2, 4, and 8. The greatest of these is 8, so the GCF of 16 and 24 is 8.
Another example is the pair 40 and 24:
- Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
- Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
The common factors here are also 1, 2, 4, and 8, which again means the GCF is 8.
Therefore, pairs of numbers such as 16 and 24, or 40 and 24, both have a greatest common factor of 8. In conclusion, to find pairs with a GCF of 8, you can check multiples of 8 and calculate their common factors.