Find the greatest common factor of 20m−12n−16.
A. 12
B. 8
C. 4
D. 2
To find the greatest common factor (GCF) of the expression 20m − 12n − 16, we need to look at the numerical coefficients of the terms and see if there is a common factor that divides all of them.
The numerical coefficients are:
- The coefficient of m: 20
- The coefficient of n: -12
- The constant term: -16
Next, let's list the factors of each of these numbers:
- Factors of 20: 1, 2, 4, 5, 10, 20
- Factors of 12: 1, 2, 3, 4, 6, 12
- Factors of 16: 1, 2, 4, 8, 16
The common factors among these three sets of numbers are 1, 2, and 4.
Among the common factors, the greatest one (GCF) is 4.
Therefore, the greatest common factor of the expression 20m − 12n − 16 is 4.
The correct answer is:
C. 4