Question

If ${\mathrm{F}}_{\mathrm{n}}$, denotes the set of factors of $\mathrm{n}$, then list the elements of ${\mathrm{F}}_{48}$,${\mathrm{F}}_{60}$ and find the largest element in common factors of ${\mathrm{F}}_{48}$and ${\mathrm{F}}_{60}$.

Answer 1

Step 1:- Find the factor of $48$

Factors of $48$$=1,2,3,4,6,8,12,16,24,48$

${\mathrm{F}}_{48}$$=$$\left\{1,2,3,4,6,8,12,16,24,48\right\}$

Step 2:- Find the factor of $60$

Factor of $60$$=$$1,2,3,4,5,6,10,12,15,20,30,60$

${\mathrm{F}}_{60}$$=$$\left\{1,2,3,4,5,6,10,12,15,20,30,60\right\}$

Step 3:- Find the largest common factor

Largest common factor $=$$\left\{12\right\}$.

Hence, the largest Common factor of $48$ and $60$ is $12$.