Verified Answer :

44|2
22|2
11|11
1

40|2
20|2
10|2
5|5
1

\(GCF(40,44)=2^2=4\)

\(44+40=4\cdot11+4\cdot10=4(11+10)\)


The answer is 4

|________ you put 44+40 in the box

  |_______ then you see what goes into both and it is 4 so then divide 44 and 40 by 4

then put 11+10 in the box and nothing goes into 11 and 10 so 4 is the only thing that goes into 44 +40