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Step-5

Title: Large factor

Grade: 6-a Lesson: S1-L5

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Find the largest common factor numbers- 28, 49.
2	Hint	The largest common factor of two numbers is also known as the greatest common divisor (GCD).
3	Step	To find the GCD of 28 and 49, we can use various methods, such as prime factorization or listing factors.
4	Step	Here’s the prime factorization method for 28 and 49:
5	Step	Prime factorization of 28:	28 = 2 × 2 × 7
6	Step	Prime factorization of 49:	49 = 7 × 7
7	Step	Identify the common prime factors:	7
8	Step	Multiply the common prime factors together:	7
9	Step	So, the greatest common divisor of 28 and 49 is 7.
10	Sumup	Can you summarize what you’ve understood in the above steps?
11	Choice.A	This is not correct because 8 is not a factor of either 28 or 49	8
12	Choice.B	This is a factor of 28, but it is not a factor of 49, so option B is not correct	4
13	Choice.C	This is correct because it is the largest common factor of 28 and 49	7
14	Choice.D	This is not a factor of either 28 or 49, so option D is not correct	10
15	Answer	Option	C
16	Sumup	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

Find the largest common factor numbers- 28, 49.

Hint

The largest common factor of two numbers is also known as the greatest common divisor (GCD).

Step

To find the GCD of 28 and 49, we can use various methods, such as prime factorization or listing factors.

Step

Here’s the prime factorization method for 28 and 49:

Step

Prime factorization of 28:

28 = 2 × 2 × 7

Step

Prime factorization of 49:

49 = 7 × 7

Step

Identify the common prime factors:

Step

Multiply the common prime factors together:

Step

So, the greatest common divisor of 28 and 49 is 7.

Sumup

Can you summarize what you’ve understood in the above steps?

Choice.A

This is not correct because 8 is not a factor of either 28 or 49

Choice.B

This is a factor of 28, but it is not a factor of 49, so option B is not correct

Choice.C

This is correct because it is the largest common factor of 28 and 49

Choice.D

This is not a factor of either 28 or 49, so option D is not correct

Answer

Option

Sumup

Can you summarize what you’ve understood in the above steps?