Find the GCF of 15q+6
To find the greatest common factor (GCF) of 15q+6, we need to find the largest factor that divides both 15q and 6 evenly.
First, let's look at the factors of 15q: 1, 3, 5, 15, q, and 15q.
Next, let's look at the factors of 6: 1, 2, 3, and 6.
From the lists of factors, we see that the largest factor that divides both 15q and 6 evenly is 3.
Therefore, the GCF of 15q and 6 is 3.
To find the greatest common factor (GCF) of 15q and 6, we need to find the largest number that can evenly divide both 15q and 6.
Let's break down the terms into their prime factors:
15q = 3 * 5 * q
6 = 2 * 3
Now, let's find the common factors:
The factors of 15q are: 1, 3, 5, q, 15q.
The factors of 6 are: 1, 2, 3, 6.
The common factors between 15q and 6 are: 1, 3.
Therefore, the GCF of 15q and 6 is 3.
To find the greatest common factor (GCF) of an algebraic expression like 15q+6, we need to factor out any common terms shared by both coefficients.
Step 1: Start by factoring out the greatest common factor of the coefficients.
The coefficients of 15q and 6 are 15 and 6. The greatest common factor of 15 and 6 is 3:
15 = 3 x 5
6 = 3 x 2
Step 2: Now, look at the variables (in this case, q) and find the least exponent of the shared variable. Since both terms have q raised to the power of 1, we can include q as well.
So, the GCF of 15q+6 is 3q.
Therefore, the greatest common factor (GCF) of 15q+6 is 3q.