Factors go into numbers, numbers go into multiples.
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A factor is what goes into a number, a multiple is what a number goes into. 3 is a factor of 9 27 is a multiple of 9.
They both describe relationships between numbers.
They have a converse relationship. A factor is a number that divides into another, with no remainders. A multiple is something that can be multiplied by another number, to reach the original number that you had. Thus: Original number / a factor = a multiple Multiple * (the correct factor) = original number. "the correct factor", because most number have more than one factor. But only one factor * multiple will give the original number.
If that's greatest common factor and greatest common divisor, there is no difference between them.
Oh, dude, the greatest common factor is the largest number that divides evenly into both 12 and 18, which in this case is 6. The least common multiple, on the other hand, is the smallest multiple that both 12 and 18 share, which in this case is 36. So, like, one's about sharing factors and the other's about sharing multiples, you know?