Question

Find the GCF of 22ab 2 c 2 and 40a 3 c 2. please help i need the correct answer

A.4a 3b 2c 2
B.2ab 2c 2
C.4ac 2
D.2ac 2

Answer 1

The option D is the correct answer

Answer 2

The correct option is D.

Step-by-step explanation:

The given numbers are $22ab^2c^2$ and  $40a^3c^2$.

We need to find the GCF of $22ab^2c^2$ and  $40a^3c^2$.

The factor form of each term

$22ab^2c^2=2\times 11\times a\times b\times b\times c\times c$

$40a^3c^2=2\times 2\times 2\times 5\times a\times a\times a\times c\times c$

GCF of $22ab^2c^2$ and  $40a^3c^2$ is

$GCF=2\times a\times c\times c=2ac^2$

The GCF of given terms are $2ac^2$.

Therefore, the correct option is D.

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