Highest common factor of 72 and 96

Mathematics

1 answer:

Likurg_2 [28]3 years ago

4 0

Answer:

Step-by-step explanation:

Prime Factorise 72:

$72=2*36\\72=2*2*18\\72=2*2*2*9\\72=2*2*2*3*3\\\\72=2^3*3^2$

Prime factorise 96:

$96=2*48\\96=2*2*24\\96=2*2*2*12\\96=2*2*2*2*6\\96=2*2*2*2*2*3\\96=2^5*3$

Multiply the common factors of $2^3*3^2$ and $2^5*3$ :

$2^3*3=24$

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