The greatest common factor (GCF) of two numbers is the largest number that divides both numbers evenly. In this case, the GCF of 12 and 144 is 12. The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both numbers. The LCM of 12 and 144 is 144. Therefore, the numbers that have a GCF of 12 and an LCM of 144 are 12 and 144.
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Well, honey, the numbers that have a greatest common factor (GCF) of 12 and a least common multiple (LCM) of 144 are 24 and 72. You see, the GCF is the largest number that divides both numbers evenly, while the LCM is the smallest number that both numbers divide into evenly. So, grab a calculator and check it out if you don't believe me!
Oh, isn't that just lovely! If the greatest common factor (GCF) is 12 and the least common multiple (LCM) is 144, the numbers must be multiples of the GCF that, when multiplied, equal the LCM. So, the numbers would be 12 and 144, because 12 x 144 = 1728, which is indeed the LCM. Happy little numbers!
Oh, dude, the LCM is the smallest number that both 36 and 48 can divide into evenly, which is 144. And the GCF is the largest number that can divide both 36 and 48 without leaving a remainder, which is 12. So, like, those are the numbers you're looking for. Cool, right?
The numbers are: 12 and 72
12 and 8
The GCF is 12.
The GCF is 12.