Final answer:
To find the largest possible common factor, we need to determine the greatest common factor (GCF) of the terms. In this case, the GCF is 20, so we can factor out 20 from the expression 60x+20 to get 20(3x+1).
Step-by-step explanation:
To factor out the largest possible common factor of the expression 60x+20, we need to find the greatest common factor (GCF) of 60 and 20.
The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.
The factors of 20 are 1, 2, 4, 5, 10, and 20.
The GCF is the largest number that divides both 60 and 20 evenly, which is 20. So we can factor out 20 from the given expression:
60x+20 = 20(3x+1).