0580.C1.1.06 — Identify and use: find the highest common factor (HCF) of two.: past paper questions

Real questions on 0580.c1.1.06 — identify and use: find the highest common factor (hcf) of two.

The newest 13 of 13 written questions. Open one to see it on the real paper.

1. 0980/22 · May/June 2025 · Q8[2]
   8 Find the highest common factor (HCF) of 36 and 54.See it on the paper →
2. 0980/41 · October/November 2024 · Q1a(ii)[2]
   (ii) Find the highest common factor (HCF) of $70$ and $112$.See it on the paper →
3. 0980/11 · October/November 2023 · Q4[1]
   4 Find the value of $\sqrt[3]{5832}$.See it on the paper →
4. 0980/11 · October/November 2023 · Q14[2]
   14 Factorise completely. $42mk-35m$See it on the paper →
5. 0980/11 · October/November 2023 · Q15[2]
   15 Find the highest common factor (HCF) of 140 and 126.See it on the paper →
6. 0980/11 · October/November 2023 · Q25[2]
   25 Calculate the area of a semicircle with radius $10$ cm.See it on the paper →
7. 0980/21 · October/November 2023 · Q9[2]
   9 Find the highest common factor (HCF) of 140 and 126.See it on the paper →
8. 0980/12 · May/June 2023 · Q1a[2]
   1 (a) Write down all the factors of 18.See it on the paper →
9. 0980/31 · October/November 2022 · Q4b[1]
   (b) Work out $\frac{2}{7}$ of 84.See it on the paper →
10. 0980/22 · May/June 2022 · Q4[1]
    4 Find the value of $\sqrt{68}\times \sqrt{153}$.See it on the paper →
11. 0980/22 · May/June 2022 · Q15[2]
    15 Find the highest common factor (HCF) of $12a^{3}b$ and $20a^2{b}^2$.See it on the paper →
12. 0980/42 · May/June 2021 · Q3c(i)[2]
    (c) $P=2^5\times 3^3\times 7$ $Q=540$ (i) Find the highest common factor (HCF) of $P$ and $Q$.See it on the paper →
13. 0980/12 · May/June 2019 · Q11[2]
    11 Find the highest common factor (HCF) of 90 and 48.See it on the paper →

What examiners said

Most candidates scored full marks on this question by identifying the prime factors of each number, using factor trees or tables, and using these to identify the highest common factor. Not all candidates were then able to use the product of prime factors to derive the correct answer of 18 and the most common incorrect answers seen were other common factors, notably 9 and 6. Some candidates confuse...

— Examiner report, May/June 2025, 0980/22 Q8 (Cambridge)

Most candidates understood what was required here, although there were a few errors. The most common error was 229.1… which is 3 × 5832 , rather than using the cube root function. Some candidates confused the square root symbol for a division sign and divided 5832 by 3.

— Examiner report, October/November 2023, 0980/11 Q4 (Cambridge)

This was done well, with a large number reaching the correct answer and others gaining a mark for a correct partial factorisation.

— Examiner report, October/November 2023, 0980/11 Q14 (Cambridge)