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Highest Common Factors (2)

In this worksheet, students find the highest common factor of two numbers.

'Highest Common Factors (2)' worksheet

Key stage:  KS 3

Curriculum topic:  Number

Curriculum subtopic:  Use Concepts and Vocabulary for All Numbers

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

The factors of 42 are 1, 2, 3, 6, 7, 14, 21 and 42.

The factors of 28 are 1, 2, 4, 7, 14 and 28.

 

Some of these factors appear in both lists and these are the common factors of 42 and 28. 

They are:

1, 2, 7 and 14

 

But 14 is the greatest

or the Highest Common Factor (HCF) of 42 and 28.

What is the highest common factor of....?

42 and 12

What is the highest common factor of....?

12 and 36

What is the highest common factor of....?

30 and 50

What is the highest common factor of....?

30 and 60

What is the highest common factor of....?

30 and 45

What is the highest common factor of....?

16 and 24

What is the highest common factor of....?

40 and 56

What is the highest common factor of....?

42 and 56

What is the highest common factor of....?

42 and 72

What is the highest common factor of....?

42 and 105

  • Question 1

What is the highest common factor of....?

42 and 12

CORRECT ANSWER
6
EDDIE SAYS
The first step here is to find all the factors of the numbers; Factors of 42 = 1, 2, 3, 6, 7, 14. 21, 42 Factors of 12 = 1, 2, 3, 4, 6, 12 The highest common factor (HCF) is the largest number that is in both lists
  • Question 2

What is the highest common factor of....?

12 and 36

CORRECT ANSWER
12
EDDIE SAYS
The first step here is to find all the factors of the numbers; Factors of 12 = 1, 2, 3, 4, 6, 12 Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36 The highest common factor (HCF) is the largest number that is in both lists
  • Question 3

What is the highest common factor of....?

30 and 50

CORRECT ANSWER
10
EDDIE SAYS
The first step here is to find all the factors of the numbers; Factors of 30 = 1, 2, 3, 5, 6, 10, 15, 30 Factors of 50 = 1, 2, 5, 10, 25, 50 The highest common factor (HCF) is the largest number that is in both lists
  • Question 4

What is the highest common factor of....?

30 and 60

CORRECT ANSWER
30
EDDIE SAYS
The first step here is to find all the factors of the numbers; Factors of 30 = 1, 2, 3, 5, 6, 10, 15, 30 Factors of 60 = 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 The highest common factor (HCF) is the largest number that is in both lists
  • Question 5

What is the highest common factor of....?

30 and 45

CORRECT ANSWER
15
EDDIE SAYS
The first step here is to find all the factors of the numbers; Factors of 30 = 1, 2, 3, 5, 6, 10, 15, 30 Factors of 45 = 1, 3, 5, 9, 15, 45 The highest common factor (HCF) is the largest number that is in both lists
  • Question 6

What is the highest common factor of....?

16 and 24

CORRECT ANSWER
8
EDDIE SAYS
The first step here is to find all the factors of the numbers; Factors of 16 = 1, 2, 4, 8, 16 Factors of 32 = 1, 2, 4, 8, 16, 32 The highest common factor (HCF) is the largest number that is in both lists
  • Question 7

What is the highest common factor of....?

40 and 56

CORRECT ANSWER
8
EDDIE SAYS
The first step here is to find all the factors of the numbers; Factors of 40 = 1, 2, 4, 5, 8, 10, 20, 40 Factors of 56 = 1, 2, 4, 7, 8, 14, 28, 56 The highest common factor (HCF) is the largest number that is in both lists
  • Question 8

What is the highest common factor of....?

42 and 56

CORRECT ANSWER
14
EDDIE SAYS
The first step here is to find all the factors of the numbers; Factors of 42 = 1, 2, 3, 6, 7, 14, 21, 42 Factors of 56 = 1, 2, 4, 7, 8, 14, 28, 56 The highest common factor (HCF) is the largest number that is in both lists
  • Question 9

What is the highest common factor of....?

42 and 72

CORRECT ANSWER
6
EDDIE SAYS
The first step here is to find all the factors of the numbers; Factors of 42 = 1, 2, 3, 6, 7, 14, 21,42 Factors of 72 = 1, 2, 3, 4, 6, 8, 9, 12, 18, 36, 72 The highest common factor (HCF) is the largest number that is in both lists
  • Question 10

What is the highest common factor of....?

42 and 105

CORRECT ANSWER
21
EDDIE SAYS
The first step here is to find all the factors of the numbers; Factors of 42 = 1, 2, 3, 6, 7, 14, 21, 42 Factors of 105 = 1, 3, 5, 7, 15, 21, 35, 105 The highest common factor (HCF) is the largest number that is in both lists
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