Factor 35x+7 using the greatest common factor
To factor 35x + 7 using the greatest common factor (GCF), we need to find the largest number or variable that divides both terms evenly. Here, the constant term is 7, and the variable term is 35x.
The GCF of 35 and 7 is 7.
The GCF of x and x is x.
Therefore, the GCF of 35x and 7 is 7x.
Now, we can factor out the GCF:
35x + 7 = 7x(5) + 7(1) = 7(5x + 1)
Thus, 35x + 7 can be factored as 7(5x + 1).