Find the highest common factor (HCF) of 12 and 18.

We start off by drawing attention to the first number in the question, 12. The number can be broken down into multiples by dividing it by the lowest number (that isn't 1): This breakdown is as follows:

12=2*6

The 6 can be broken down also giving:

12=223

Now this number is finished with since 3 is a prime number.

Now do the same for the second number:

18=233

From the 2 breakdowns take out the matching multiples. This comprises of 2*3, because you can see there is a 2 and a 3 in each breakdown.

Now, this gives 2*3=6, which is the HCF as required.

Answered by Jake J. Maths tutor

34093 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How to factorise quadratic equations?


simplify (2q+4)/(p(p+1)) -q/p


Calculate the mean value of 34,35,36,32,39.


A car costs £1200 in a sale. It was reduced by 20%. What was the original price?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences