1

Problem

Find the greatest common factor for the following numbers 24 and 36.

2

Step

The given numbers are

24 and 36

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 24 and 36 using a step-by-step process:

5

Step

Factors of 24:

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

6

Step

Factors of 36:

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

7

Step

Common factors of 24 and 36 are:

1, 2, 3, 4, 6, and12

8

Step

The greatest common factor (GCF) of 24 and 36 is 12, as it’s the largest number that divides both 24 and 36 without leaving a remainder.

9

Solution

So, the greatest common factor of 24 and 36 is 12.

10

Sumup

Please summarize steps

Choices

11

Choice-A

This is not correct because 16 is not a factor of both 24 and 36

Wrong 16

12

Choice-B

This is not correct because it GCF must be a factor of both numbers. 24 isn’t a factor of 36, so not the GCF. It divides both numbers without a remainder

Wrong 24

13

Choice-C

This is correct because it represents the greatest common factor of 24 and 36

Correct 12

14

Choice-D

6 is a common factor of 24 and 36, but it is not the greatest common factor. 12 is greater than 6 and still divides both numbers. So, this is wrong

Wrong 6

15

Step

Option

C

16

Sumup

Please summarize choices