Finding GCF(ladder method):
1. Take your numbers(108 & 144) and line them up with an upside down division symbol
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2. Find a number that both your numbers are divisible by(4), then divide both your numbers by the common factor.
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3. Continue dividing your resulting numbers by common factors until all your numbers only have a common factor of 1.
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4. Multiply the numbers on the left to get your GCF: GCF = 4 x 9 = 36
5. Now you got your GCF!
Finding LCM(ladder method):
1. Take your numbers(108 & 144) and line them up with an upside down division symbol
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2. Find a number that both your numbers are divisible by(4), then divide both your numbers by the common factor.
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3. Continue dividing your resulting numbers by common factors until all your numbers only have a common factor of 1.
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4. Multiply all your outer numbers together to get your GCF: GCF = 4 x 9 x 3 x 4 = 432
5. Now you got your LCM!
Conclusion: I like the method I found better because you don’t need to do prime factorization. I also like it better because you don’t need to put your face against the paper looking for repeated prime factors. The method I found is also less writing because it doesn’t use prime factorization and just factorization.