Find the number n that fits all of these conditions.

n is factor of 36.

n is factor of 48.

n > 6.

A) 12

B) 8

C) 9

D) 6

N is larger than the number 6: Therefore option (D) is disqualified.

N is a factor of 36: The factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36

N is a factor of 48: The factors of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The only answer matching all of the above criteria is Option (A) 12

When you look at your choices, we see that 8 is not a factor of 36 and 9 is not a factor of 48. the last choice of 6 is not larger than 6, ... so 12 is the only appropriate answer as it is a factor of 36, 48, and larger than 6.