What is the GCF of 16 and 15?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 16 and 15. To solve this, we will find the factors of each number and identify the largest factor they have in common.
Answer
The GCF of 16 and 15 is $1$.
Answer for screen readers
The greatest common factor (GCF) of 16 and 15 is $1$.
Steps to Solve
-
Identify the factors of 16
We start by listing the factors of 16. The factors are the numbers that divide 16 without leaving a remainder.
The factors of 16 are:
$$ 1, 2, 4, 8, 16 $$ -
Identify the factors of 15
Next, we list the factors of 15, which are also the numbers that divide 15 without leaving a remainder.
The factors of 15 are:
$$ 1, 3, 5, 15 $$ -
Find the common factors
Now, we compare the factors of 16 and 15 to identify the common factors.
The common factor between the two sets is:
$$ 1 $$ -
Identify the greatest common factor
Finally, from the common factors found, we select the largest one, which is the greatest common factor (GCF).
The GCF of 16 and 15 is:
$$ 1 $$
The greatest common factor (GCF) of 16 and 15 is $1$.
More Information
The greatest common factor is the largest positive integer that divides each of the given numbers without a remainder. Since 16 and 15 have no other common factors except for 1, the GCF is 1.
Tips
Common mistakes include confusing factors with multiples, or failing to list all factors correctly. To avoid these mistakes, always ensure that you systematically list out the factors for each number and verify them.
