The greatest common factor of the terms [tex]14c^{2}d[/tex] and [tex]42c^{3}d[/tex] is [tex]14c^{2}d[/tex]
Greatest Common Factor is the highest number that divides exactly into two or more numbers.
Given,
[tex]14c^{2}d[/tex] and [tex]42c^{3}d[/tex]
Consider the first term 14 and 42
Factorize the terms
14 = 2×7
42 = 3×2×7
Greatest common factor is 14
Consider second term [tex]c^{2}[/tex] and [tex]c^{3}[/tex]
[tex]c^{2}[/tex] = c × c
[tex]c^{3}[/tex] = c × c × c
Greatest common factor is [tex]c^{2}[/tex]
Consider third term d and d
Greatest common factor d
Hence, the greatest common factor of the terms [tex]14c^{2}d[/tex] and [tex]42c^{3}d[/tex] is [tex]14c^{2}d[/tex]
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