what is the gcf of 48a + 24b - 56c
To find the greatest common factor (GCF) of the expression 48a + 24b - 56c, we need to find the largest common factor that can divide all three terms.
First, let's find the GCF of the coefficients 48, 24, and 56. The prime factorization of these numbers is:
48 = 2^4 * 3
24 = 2^3 * 3
56 = 2^3 * 7
The GCF of 48, 24, and 56 is 2^3 * 3 = 24.
Now, let's find the GCF of the variables a, b, and c. Since the variables do not have any factors in common, the GCF is 1.
Therefore, the GCF of 48a + 24b - 56c is 24 * 1 = 24.