Question

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identify the greatest common factor of 18 and 39bz.
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Explanation:

Step1: Factorize 18

First, we find the prime factors of 18. We know that \(18 = 2\times3\times3\).

Step2: Factorize 39bz

Next, we factorize the coefficient of \(39bz\), which is 39. The prime factorization of 39 is \(39 = 3\times13\). The variables \(b\) and \(z\) are prime factors in themselves (since they are variables and we consider their presence as factors, but for the GCF with 18, we only look at the common factors of the coefficients first, and then check for common variables. But 18 has no \(b\) or \(z\) factors, so we focus on the numerical part).

Step3: Find common factors

Now, we look for the common prime factors between 18 and 39. The prime factors of 18 are 2, 3, 3 and the prime factors of 39 are 3, 13. The only common prime factor is 3. So the greatest common factor (GCF) of 18 and \(39bz\) is 3.

Answer:

3