Foundation June 2024 Paper 1 Q18
18 Find the highest common factor (HCF) of 72 and 108
Show your working clearly.
(2)
| Scheme | Marks |
|---|---|
| 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72 and 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108 or 2 2 2 3 3 and 2 2 3 3 3 or  | M1 |
| Working required Answer: 36 | A1 |
| (2) | |
| (2 marks) |
Notes
M1: for any correct valid method and no errors eg
for starting to list at least four different factors of each number and no errors
or
2 2 2 3 3 and 2 2 3 3 3 seen
or 4 2 3 3 and 4 3 3 3 seen
or 2 2 2 9 and 2 2 3 9 seen
or 4 2 9 and 4 3 9 seen
or 2 36 and 3 36 etc
(may be in a factor tree or a ladder diagram with no errors and ignore 1)
or a fully correct Venn diagram
or other clear method, eg table
A1: dep on M1
Accept \(2^2 \times 3^2\) oe