1

Problem

Find the greatest common factor for the following numbers 36 and 54.

2

Step

The given data

36 and 54

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 36 and 54 using a step-by-step process:

5

Step

Factors of 36:

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

6

Step

Factors of 54:

1, 2, 3, 6, 9, 18, 27, and 54

7

Step

Common factors of 36 and 54 are:

1, 2, 3, 6, 9, and 18

8

Step

The greatest common factor (GCF) of 36 and 54 is 18, as it’s the largest number that divides both 36 and 54 without leaving a remainder.

9

Solution

So, the greatest common factor of 36 and 54 is 18.

10

Sumup

Please summarize steps

Choices

11

Choice-A

20 is not a factor of either 36 or 54, so it cannot be their greatest common factor

Wrong 20

12

Choice-B

This is incorrect because 21 is not a factor of either 36 or 54

Wrong 21

13

Choice-C

16 is not a factor of either 36 or 54, so it cannot be their greatest common factor

Wrong 16

14

Choice-D

18 is correct because it is the greatest common factor of 36 and 54

Correct 18

15

Step

Option

D

16

Sumup

Please summarize choices