what is the greatest common factor of 9,18,and 45?

A)5
B)9
C)18
D)45

To find the greatest common factor (GCF) of 9, 18, and 45, we need to determine the largest number that divides evenly into all three numbers.

One way to find the GCF is by listing out the factors of each number and identifying the common factors.

Factors of 9: 1, 3, 9
Factors of 18: 1, 2, 3, 6, 9, 18
Factors of 45: 1, 3, 5, 9, 15, 45

Looking at the factors listed above, we can identify that the numbers 1 and 9 are common factors of 9, 18, and 45.

Since we are looking for the greatest common factor, the largest common factor among the options given (5, 9, 18, and 45) is 9.

Therefore, the answer is B) 9.