Calculate the Greatest Common Factor or GCF of 70, 112 and 168
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The instructions to find the GCF of 70, 112 and 168 are the next:
1. Decompose all numbers into prime factors
| 70 | 2 |
| 35 | 5 |
| 7 | 7 |
| 1 |
| 112 | 2 |
| 56 | 2 |
| 28 | 2 |
| 14 | 2 |
| 7 | 7 |
| 1 |
| 168 | 2 |
| 84 | 2 |
| 42 | 2 |
| 21 | 3 |
| 7 | 7 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 70 | = | 2 . 5 . 7 |
| Prime factors of 112 | = | 24 . 7 |
| Prime factors of 168 | = | 23 . 3 . 7 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 7
Common prime factors with the lowest exponent: 21, 71
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 = 21. 71 = 14
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