Calculate the Greatest Common Factor or GCF of 144, 256 and 400
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The instructions to find the GCF of 144, 256 and 400 are the next:
1. Decompose all numbers into prime factors
| 144 | 2 |
| 72 | 2 |
| 36 | 2 |
| 18 | 2 |
| 9 | 3 |
| 3 | 3 |
| 1 |
| 256 | 2 |
| 128 | 2 |
| 64 | 2 |
| 32 | 2 |
| 16 | 2 |
| 8 | 2 |
| 4 | 2 |
| 2 | 2 |
| 1 |
| 400 | 2 |
| 200 | 2 |
| 100 | 2 |
| 50 | 2 |
| 25 | 5 |
| 5 | 5 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 144 | = | 24 . 32 |
| Prime factors of 256 | = | 28 |
| Prime factors of 400 | = | 24 . 52 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2
Common prime factors with the lowest exponent: 24
4. Calculate the Greatest Common Factor or GCF
Remember, to find the GCF of several numbers you must multiply the common prime factors with the lowest exponent.
GCF = 24 = 16
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