find the GCF of 18a+12b
To find the greatest common factor (GCF) of 18a and 12b, we need to determine the highest common factor of the coefficients and variables.
First, let's factor out the coefficients of 18 and 12:
18 = 2 * 3 * 3
12 = 2 * 2 * 3
Next, let's consider the variables.
18a = 2 * 3 * 3 * a
12b = 2 * 2 * 3 * b
Now, let's identify the common factors between the two expressions:
The common factors in the coefficients are 2 and 3.
The common factors in the variables are 2 and 3.
Therefore, the GCF of 18a and 12b is 2 * 3 = 6.
To find the greatest common factor (GCF) of the terms 18a and 12b, we will first factor each term separately.
For 18a:
The factors of 18 are 1, 2, 3, 6, 9, 18.
The factors of a are a.
Therefore, the factors of 18a are 1a, 2a, 3a, 6a, 9a, 18a.
For 12b:
The factors of 12 are 1, 2, 3, 4, 6, 12.
The factors of b are b.
Therefore, the factors of 12b are 1b, 2b, 3b, 4b, 6b, 12b.
To determine the GCF, we need to find the common factors of 18a and 12b.
The common factors between 18a and 12b are 1 and 2.
Thus, the GCF of 18a and 12b is 2.