What is the Highest Common Factor (HCF) of 24, 32 and 64?
A factor is a number that fits exactly into another number. For example, 2 is a factor of 4 because 2 goes into 4, 2 times
The highest common factor is the largest whole number which is shared by given numbers.
To find the highest common factor, list the factors of all the numbers and select the highest among them
Write down the multiples which gives the numbers you are looking for their factors. Pick each of the numbers from the list
| 24 |
32 |
64 |
| 1 x 24 |
1 x 32 |
1 x 64 |
| 2 x 12 |
2 x 16 |
2 x 32 |
| 3 x 8 |
4 x 8 |
4 x 16 |
| 4 x 6 |
|
8 x 8 |
| Factors |
| 1,2,3,4,6,8,12,24 |
1,2,4,8,16,32 |
1,2,4,8,16,32,64 |
You can verify if you've list all the factors, by picking the first and multiplying with the last then the second and the last but two and so on. If none is left without a pair, then you've listed all. Only numbers which multiplied by itself gives the number you are looking for its factor doesn't have a pair since multiplying itself gives the number
From the above list, 8 is the highest number which appears in all the list of factors of 24, 32 and 64
Hence the Highest Common Factor of 24, 32 and 64 is 8
