The greatest common factor of 350 and 825 is:

(1 point)
Responses

2
2

25
25

10
10

35

The greatest common factor of 350 and 825 is 25.

To find the greatest common factor (GCF) of two numbers, we need to identify the largest number that can divide both of them. For 350 and 825, we can begin by listing the factors of each number:

Factors of 350: 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Factors of 825: 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

From these lists, we can see that both 25 and 5 are factors of both 350 and 825. However, the largest factor they have in common is 25. Therefore, the greatest common factor of 350 and 825 is 25.

So, the correct answer is 25.