Karen says that 6 is a common factor of 2 and 3 ken says that 6 is a common multiple of 2 and 3 who is correct

6 is a common multiple of 2 and 3 ... so Ken is correct

think of multiples like multiplication tables

2 * 1 = 2

2 * 2 = 4

2 * 3 = 6

so 2,4, and 6 are multiples of 2

same with 3 ...

3 * 1 = 3

3 * 2 = 6

3 * 3 = 9

so 3,6, and 9 are multiples of 3

so 6 is a common multiple of 2 and 3.

factors ... they are what can be divided into a number ...

6 has factors of 2 and 3 ... because they both go into 6 evenly

but 6 is not a factor of 2 or 3 because 6 wont go into them evenly