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

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Answer 1 · 2018-03-18T14:07:44

See a solution process below:

Find the prime factors for each number as:

$4 c = 2 \times 2 \times c$ $4c = 2 xx 2 xx c$

$18 c = 2 \times 3 \times 3 \times c$ $18c = 2 xx 3 xx 3 xx c$

Now identify the common factors and determine the GCF:

$4 c = 2 \times 2 \times c$ $4c = color(red)(2) xx 2 xx color(red)(c)$

$18 c = 2 \times 3 \times 3 \times c$ $18c = color(red)(2) xx 3 xx 3 xx color(red)(c)$

Therefore:

$GCF = 2 \times c$ $"GCF" = color(red)(2) xx color(red)(c)$ = 2c#