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3 years ago

10

What is the greatest common factor of 28 and 42

2 answers:

DedPeter [7]3 years ago

7 0

Answer:

The answer is 14

Step-by-step explanation:

14x2=28

14x3=42 so the greatest common factor is 14

anygoal [31]3 years ago

4 0

$Method\ \#1:\\\\\text{Factors of 28:}\ 1,\ 28,\ 2,\ \boxed{14},\ 4,\ 7\\\\\text{Factors of 42:}\ 1,\ 42,\ 3,\ \boxed{14},\ 6,\ 7\\\\GCF(28,\ 42)=\boxed{14}\\---------------------------\\Method\ \#2:\\\\\begin{array}{c|c}28&2\\14&2\\7&7\\1\end{array}\qquad28=\boxed{2}\cdot2\cdot\boxed{7}\\\\\begin{array}{c|c}42&2\\21&3\\7&7\\1\end{array}\qquad42=\boxed2\cdot3\cdot\boxed7\\\\GCF(28,\ 42)=\boxed2\cdot\boxed7=14$

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