Question

question
identify the greatest common factor of 20bcz and 40x.

Explanation:

Step1: Factorize the coefficients

Factorize 20 and 40. \(20 = 2\times10 = 2\times2\times5\), \(40 = 4\times10 = 2\times2\times2\times5\). The common factors of 20 and 40 are \(2\times2\times5 = 20\).

Step2: Check the variables

For the variables, \(20bcz\) has variables \(b\), \(c\), \(z\) and \(40x\) has variable \(x\). There are no common variables between them.

Step3: Determine the GCF

Since the only common part is the coefficient 20 (and no common variables), the greatest common factor is 20.

Answer:

20