Answer:
Explanation:
To find the length of the longest scale that can measure 64 m and 48 m exactly, we need to find the greatest common factor (GCF) of 64 and 48. The GCF is the largest number that divides both numbers without leaving a remainder. One way to find the GCF is to list the factors of both numbers and find the largest one that they have in common. For example:
Factors of 64: 1, 2, 4, 8, 16, 32, 64
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The largest factor that both numbers have in common is 16. Therefore, the GCF of 64 and 48 is 16.
This means that the longest scale that can measure both lengths exactly is 16 m. We can check this by dividing both lengths by 16 and seeing that there is no remainder:
1664=4
1648=3