Find the greatest common factor of 27 and 54(1 point)
Responses
9
9
3
3
6
6
27
9
To find the greatest common factor (GCF) of 27 and 54, we need to find the largest number that both 27 and 54 can be divided evenly by.
Let's start by listing the factors of 27: 1, 3, 9, 27.
Now let's list the factors of 54: 1, 2, 3, 6, 9, 18, 27, 54.
We can see that the common factors between 27 and 54 are: 1, 3, 9, 27.
Therefore, the greatest common factor of 27 and 54 is 27.
To find the greatest common factor (GCF) of two numbers, you can use a method called prime factorization.
First, let's find the prime factorization of both 27 and 54:
Factorization of 27:
27 = 3 * 3 * 3
Factorization of 54:
54 = 2 * 3 * 3 * 3
Next, we identify the common prime factors between the two numbers, which are 3 and 3.
To find the GCF, we take the product of the common prime factors:
GCF = 3 * 3 = 9
So the GCF of 27 and 54 is 9.