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# What's the highest common factor of 36, 54 and 72?

By Verity Painter on the 8th of January, 2013

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HCF highest common factor can be found by splitting each number into factors and taking the common factors from each set of factors. ie

36 = 2 x 2 x 3 x 3

54 = 2 x 3 x 3 x 3

72 = 2 x 2 x 2 x 3 x 3 so we see 2 x 3 x3 is common in all the 3. one 2 is in common and two 3's are also common. so we take all these and multiply then we get 18 as HCF

By Adersh Antony on the 19th of January, 2013

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# highest common factor of 36, 54 and 72=18

as follow:-

2*18 = 36

3*18 = 54

4*18 = 72

By AMRITA CHAKRAVARTY on the 21st of January, 2013

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The HCF (highest common factor) is found by splitting each number into its prime factors:

36 = 2 x 2 x 3 x 3

54 = 2 x 3 x 3 x 3

72 = 2 x 2 x 2 x 3 x 3

The HCF is then found by mulitplying together the factors that are common to each number:

2 x 3 x 3 = 18

By jagadish on the 14th of January, 2013

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What is the highest common factor of 36, 54, and 72?

HCF stands for Highest Common Factor. Highest common factor is the biggest number that can be divided into all the numbers in the given list.
In most cases to find the highest common factor (HCF) we list down all the factors of all the numbers. Then locate the biggest number that appears in all the factors listed.
The following example shows how to find the highest common factor.

Example:

By Bridget Gaskin on the 17th of January, 2013

## Simplify expressions with surds into the form a + b3

Be warned this topic is Chuck Norris hard. Make sure you've done the related topics below before you try and get your head round this one...

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So if you put a square root sign around a number that is not a square number, then what you have written is a surd.

e.g. √10 is a surd, because 10 is not a square number. √9 is not a surd, because 9 is a square number, so you can write √9= 3

Even if the number under the square root sign is not a square number, it can still be simplified.

Write the starting number as a product of two new numbers, where one of them is a square number (e.g. 45 -> 9 x 5).  Take the root of the square number, and write it outside of the root sign

e.g. √45 = √(9×5)=3√5

## Follow the links below to see how this topic has appeared in past exam papers

AQA Unit 2 March 2011 (H) - Page 11, Question 17

Other Relates Topics…

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