Final answer:
The greatest common factor of 14, 38, and 44 is 2.
Step-by-step explanation:
The greatest common factor (GCF) of three numbers is the largest number that divides evenly into all of the given numbers. To find the GCF of 14, 38, and 44, we can list the factors of each number and determine the largest common factor:
Factors of 14: 1, 2, 7, 14
Factors of 38: 1, 2, 19, 38
Factors of 44: 1, 2, 4, 11, 22, 44
The largest common factor among all three numbers is 2. Therefore, the greatest common factor of 14, 38, and 44 is 2.