Final answer:
The common factors of 72 and 64 are 1, 2, 4, 8, and 16. The common multiples are infinite, but some examples are 72, 144, 216, 288, and 512.
Step-by-step explanation:
The common factors and multiples of 72 and 64 can be found by listing the factors of each number and determining which numbers are common to both lists.
The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.
The factors of 64 are: 1, 2, 4, 8, 16, 32, and 64.
The common factors of 72 and 64 are 1, 2, 4, 8, and 16. The common multiples are infinite, but some examples are 72, 144, 216, 288, and 512.