Final answer:
The greatest common factor between 38 and 34 is 2, as it is the highest number that divides evenly into both numbers.
Step-by-step explanation:
The question asks to identify the greatest common factor between 38 and 34. The greatest common factor (GCF) is the highest number that divides evenly into two or more numbers. To find the GCF of 38 and 34, we list the factors of each number.
Factors of 38: 1, 2, 19, 38
Factors of 34: 1, 2, 17, 34
From these lists, we see that the common factors of 38 and 34 are 1 and 2. Therefore, the greatest factor they have in common is 2. This means the answer to the question is (a) 2.