What are the main differences between the Greatest Common Factor and the Least Common Multiple of a pair of number? Use the numbers 10 and 15 to show the differences in finding the GCF and LCM. Explain your work.

 GCF = 5    LCM = 30

Step-by-step explanation:

GCF is the biggest factor they have in common.

LCM is the smallest multiple they have in common.  This can be found by multiplying the GCF by the leftover values.

                                10                    15

                                ∧                      ∧

                             2 · 5                  3 · 5

GCF: 5

LCM: 5 · 2 · 3 = 30

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step-by-step explanation: