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How do you find the greatest common factor of the following monomials: 4c, 18c?

Answer 1

Genesis Allen

See a solution process below:

Find the prime factors for each number as:

#4c = 2 xx 2 xx c#

#18c = 2 xx 3 xx 3 xx c#

Now identify the common factors and determine the GCF:

#4c = color(red)(2) xx 2 xx color(red)(c)#

#18c = color(red)(2) xx 3 xx 3 xx color(red)(c)#

Therefore:

#"GCF" = color(red)(2) xx color(red)(c)# = 2c#

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Answer 2

Ethan Adkins

To find the greatest common factor (GCF) of the monomials 4c and 18c, you identify the common factors of the coefficients and the common factors of the variables.

For the coefficients, the common factor is 2.

For the variables, the common factor is 'c'.

Therefore, the greatest common factor of 4c and 18c is 2c.

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Answer from HIX Tutor

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