Calculate the Greatest Common Factor or GCF of 36, 70, 94 and 114
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The instructions to find the GCF of 36, 70, 94 and 114 are the next:
1. Decompose all numbers into prime factors
| 36 | 2 |
| 18 | 2 |
| 9 | 3 |
| 3 | 3 |
| 1 |
| 70 | 2 |
| 35 | 5 |
| 7 | 7 |
| 1 |
| 94 | 2 |
| 47 | 47 |
| 1 |
| 114 | 2 |
| 57 | 3 |
| 19 | 19 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 36 | = | 22 . 32 |
| Prime factors of 70 | = | 2 . 5 . 7 |
| Prime factors of 94 | = | 2 . 47 |
| Prime factors of 114 | = | 2 . 3 . 19 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2
Common prime factors with the lowest exponent: 21
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 = 2
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