1

Problem

Find the greatest common factor for the following numbers:
72 and 96.

2

Step

The given data is

72 and 96

3

Hint

Finding the greatest common factor (GCF) of two numbers involves determining the largest number that divides both numbers without leaving a remainder.

4

Step

Let’s find the GCF of 72 and 96 using a step-by-step process:

5

Step

Factors of 72:

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72

6

Step

Factors of 96:

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96

7

Step

Common factors of 72 and 96 are:

1, 2, 3, 4, 6, 8, 12, and 24

8

Step

The greatest common factor (GCF) of 72 and 96 is 24, as it’s the largest number that divides both 72 and 96 without leaving a remainder.

9

Solution

So, the greatest common factor of 72 and 96 is 24.

10

Sumup

Please summarize steps

Choices

11

Choice-A

9 is a factor of 72 (since \$9 = 3^2\$), but it is not a factor of 96 because 96 is not divisible by 9. Thus, this is incorrect

Wrong 9

12

Choice-B

This is correct because it is the greatest common factor of 72 and 96

Correct 24

13

Choice-C

7 is not a factor of 72 or 96, so it cannot be their greatest common factor. this is incorrect

Wrong 7

14

Choice-D

18 is a common factor of 72 and 96, but not the greatest. So, choice D is incorrect

Wrong 18

15

Step

Option

B

16

Sumup

Please summarize choices