What is the greatest common factor of 63b^2c^4 and 42b^3c^2

Factor out the GCF of

21

b

2

c

2

from

63

b

2

c

4

+

42

b

3

c

2

.

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Factor out the GCF of

21

b

2

c

2

from each term in the polynomial.

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Factor out the GCF of

21

b

2

c

2

from the expression

63

b

2

c

4

.

21

b

2

c

2

(

3

c

2

)

+

42

b

3

c

2

Factor out the GCF of

21

b

2

c

2

from the expression

42

b

3

c

2

.

21

b

2

c

2

(

3

c

2

)

+

21

b

2

c

2

(

2

b

)

Since all the terms share a common factor of

21

b

2

c

2

, it can be factored out of each term.

21

b

2

c

2

(

3

c

2

+

2

b

)

The greatest common factor

GCF

is the term in front of the factored expression.

21

b

2

c

2