Answer:
See explanation
Step-by-step explanation:
1. Find the GCF of 40 and 44:
[tex]40=\underline{2\cdot 2}\cdot 2\cdot 5\\ \\44=\underline{2\cdot 2}\cdot 2\cdot 11\\ \\GCF(40,44)=2\cdot 2=4[/tex]
So,
[tex]40+44=4\cdot 10+4\cdot 11=4\cdot (10+11)[/tex]
2. Find the GCF of 13 and 52:
[tex]13=\underline{13}\\ \\52=2\cdot 2\cdot \underline{13}\\ \\GCF(13,52)=13[/tex]
So,
[tex]13+52=13\cdot 1+13\cdot 4=13\cdot (1+4)[/tex]
3. Find the GCF of 15 and 81:
[tex]15=\underline{3}\cdot 5\\ \\81=\underline{3}\cdot 3\cdot 3\cdot 3\\ \\GCF(15,81)=3[/tex]
So,
[tex]15+81=3\cdot 5+3\cdot 27=3\cdot (5+27)[/tex]
4. Find the GCF of 64 and 28:
[tex]64=\underline{2\cdot 2}\cdot 2\cdot 2\cdot 2\cdot 2\\ \\28=\underline{2\cdot 2}\cdot 7\\ \\GCF(64,28)=2\cdot 2=4[/tex]
So,
[tex]64+28=4\cdot 16+4\cdot 7=4\cdot (16+7)[/tex]
