greatest common factor of 28 and 96

Sagot :

get the common primes

28 = 2*2*7
96=2*2*2*2*2*3

their common prime is 2*2 so 4 is their GCF
[tex]28|2~~~~~~~~~96|2 \\ 14|2~~~~~~~~~48|2 \\ ..7|7~~~~~~~~~24|2 \\ ~~~~~~~~~~~~~~~.12|2 \\ ~~~~~~~~~~~~~~~~~6|2 \\ ~~~~~~~~~~~~~~~~~3|3 \\ 28=2^2*7 \\ 96=2^4*3 \\ ^{\underline{~~~~~~~~~~~~~~~~~~~~~~~~~}} \\ G.C.F=2^2 \\ \boxed{G.C.F=4}[/tex]