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Maths · Grade 6 · Set A
Common Factors and Multiples
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Remember: The greatest common factor is the biggest number that goes into both. The least common multiple is the first number both lists reach.

Factors, multiples and sharing

1
Sensei packs 6 red counters and 10 blue counters into matching bags. Every bag has the same mix and nothing is left over. What is the most bags?
2
The lists show every factor of 15 and of 24. What is the greatest common factor of 15 and 24?
3
Circle every common factor of 12 and 18.
24693
4
The lists show the first multiples of 4 and of 6. What is the least common multiple of 4 and 6?
5
What is the least common multiple of 5 and 8?
6
The least common multiple of 3 and 4 is 7.
TrueFalse
7
What is the greatest common factor of 27 and 60?
931
8
16 + 20 = 4 × ( + 5)
9
40 + 72 = × (5 + 9)
10
Join each pair of numbers to its greatest common factor.
  1. 16 and 9
  2. 28 and 12
  3. 310 and 25
  4. 414 and 21
  • A5
  • B3
  • C7
  • D4
11
Join each pair of numbers to its least common multiple.
  1. 12 and 3
  2. 24 and 10
  3. 36 and 8
  4. 45 and 15
  • A6
  • B15
  • C20
  • D24
12
Pens come in packs of 4 and erasers come in packs of 6. What is the fewest pens that gives the same number of pens and erasers?
241012
13
18 + 27 = 9 × ( + 3)
14
Pip says the greatest common factor of 12 and 18 is 1, because 1 goes into both. Write what is wrong.
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Answer key · Set A
Common Factors and Multiples
12 2 is the biggest number that goes into both 6 and 10. Each bag gets 3 red and 5 blue.
23 The factors in both lists are 1 and 3. The greatest of them is 3.
32, 6, 3 2, 3 and 6 go into both 12 and 18. 4 does not go into 18 and 9 does not go into 12.
412 The first number in both lists is 12.
540 Count by 8: 8, 16, 24, 32, 40. The first one that is also a multiple of 5 is 40.
6False The two lists of hops meet at 12, so the least common multiple is 12. Seven is 3 + 4, not a multiple of both.
73 The factors of 27 are 1, 3, 9 and 27. 60 does not split into 9s, but it does split into 3s.
84 4 goes into 16 four times and into 20 five times. 4 × (4 + 5) = 36 = 16 + 20.
98 8 goes into 40 five times and into 72 nine times. 8 × 14 = 112 = 40 + 72.
101-B, 2-D, 3-A, 4-C List the factors of each and pick the biggest one they share.
111-A, 2-C, 3-D, 4-B Count by the bigger number until the smaller one also fits.
1212 12 is 3 packs of 4 and 2 packs of 6. 24 matches too, but 12 is the least.
132 9 goes into 18 two times and into 27 three times. 9 × (2 + 3) = 45 = 18 + 27.
14Your own words: a grown-up reads it.
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