The greatest common factor of the terms \(14c^{2}d\) and \(42c^{3}d\) is \(14c^{2}d\)
What is Greatest common factor?
Greatest Common Factor is the highest number that divides exactly into two or more numbers.
Given,
\(14c^{2}d\) and \(42c^{3}d\)
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 \(c^{2}\) and \(c^{3}\)
\(c^{2}\) = c × c
\(c^{3}\) = c × c × c
Greatest common factor is \(c^{2}\)
Consider third term d and d
Greatest common factor d
Hence, the greatest common factor of the terms \(14c^{2}d\) and \(42c^{3}d\) is \(14c^{2}d\)
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