Question

GCF of 30m+12n

Answer 1

[AI-generated answer — Bot GPT-4 Turbo]

The GCF (greatest common factor) of two or more terms is the largest factor that divides all the terms. To find the GCF of 30m and 12n, we can break down each term into its prime factors and then identify the largest factor common to all terms.

First, let's find the prime factors of the numerical coefficients 30 and 12.

The prime factorization of 30 is 2 × 3 × 5.
The prime factorization of 12 is 2 × 2 × 3.

The common prime factors between 30 and 12 are 2 and 3. Multiplying the common prime factors gives us the greatest common factor of the numerical coefficients:

2 × 3 = 6

Since there are no common variables between "m" and "n", we cannot include any variable factors in the GCF.

Therefore, the GCF of 30m and 12n is just 6, with no variable factor included.