1

Problem

Find the greatest common factor 42 and 49.

2

Step

The given data

42 and 49

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 42 and 49 using a step-by-step process:

5

Step

Factors of 42:

1, 2, 3, 6, 7, 14, 21, and 42

6

Step

Factors of 49:

1, 7, and 49

7

Step

Common factors of 42 and 49 are:

1 and 7

8

Step

The greatest common factor (GCF) of 42 and 49 is 7, the largest number that divides both 42 and 49 without leaving a remainder.

9

Solution

So, the greatest common factor of 42 and 49 is 7.

10

Sumup

Please summarize steps

Choices

11

Choice-A

7 is a divisor of both 42 and 49 and is the largest number that satisfies this condition. This is the correct answer

Correct 7

12

Choice-B

This option is incorrect. While 3 divides 42, it doesn’t divide 49. The greatest common factor has to divide both numbers

Wrong 3

13

Choice-C

This is incorrect because 5 is not a factor of 42 or 49 in this instance

Wrong 5

14

Choice-D

1 is a factor of every number but is not the greatest common factor unless no larger common factor exists. Since 7 is a larger common factor, 1 is incorrect

Wrong 1

15

Step

Option

A

16

Sumup

Please summarize choices