Question

Find the greatest common factor of 16 and 36

Answer 1

Answer: 4

Step-by-step explanation: The Greatest Common Factor of two

numbers is the largest factor shared by both numbers.

As a review in case you didn't know, a factor of a

number divides into that number without a remainder.

To find the greatest common factor of 16 and 36,

we begin by finding all of the factors of each number.

Let's start by finding the factors of 16.

16 ÷ 1 = 16

16 ÷ 2 = 8

16 ÷ 4 = 4

We can stop here because if we continue

dividing, we won't find any new factors.

So the factors of 16 are 1, 2, 4, 8, and 16.

Now let's find the factors of 36.

36 ÷ 1 = 36

36 ÷ 2 = 18

36 ÷ 3 = 12

36 ÷ 4 = 9

36 ÷ 6 = 6

So the factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.

Now find the largest number shared by the two lists.

In this case, the largest number is 4.

So the greatest common factor of 16 and 36 is 4.

Answer 2

GCF= 4

Explanation:

A factor is a number that evenly divides into another number.

First, list the factors of 16.

1 , 2, 4, 8, 16

Next, list the factors of 36

1 , 2 , 3, 4, 6, 9, 12, 18, 36

Now, find the GCF, or greatest common factor. The GCF is the largest factor that both numbers share.

16 : 1 , 2, 4, 8, 16

36 : 1 , 2 , 3, 4, 6, 9, 12, 18, 36

When we compare the lists, we see the biggest number that appears in both lists is 4.

The Greatest Common Factor of 16 and 36 is 4.