Calculate the Greatest Common Factor or GCF of 144, 300 and 448
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The instructions to find the GCF of 144, 300 and 448 are the next:
1. Decompose all numbers into prime factors
| 144 | 2 |
| 72 | 2 |
| 36 | 2 |
| 18 | 2 |
| 9 | 3 |
| 3 | 3 |
| 1 |
| 300 | 2 |
| 150 | 2 |
| 75 | 3 |
| 25 | 5 |
| 5 | 5 |
| 1 |
| 448 | 2 |
| 224 | 2 |
| 112 | 2 |
| 56 | 2 |
| 28 | 2 |
| 14 | 2 |
| 7 | 7 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 144 | = | 24 . 32 |
| Prime factors of 300 | = | 22 . 3 . 52 |
| Prime factors of 448 | = | 26 . 7 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2
Common prime factors with the lowest exponent: 22
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 = 22 = 4
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