Calculate the Greatest Common Factor or GCF of 38, 350, 70, 19, 11 and 54
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The instructions to find the GCF of 38, 350, 70, 19, 11 and 54 are the next:
1. Decompose all numbers into prime factors
| 38 | 2 |
| 19 | 19 |
| 1 |
| 350 | 2 |
| 175 | 5 |
| 35 | 5 |
| 7 | 7 |
| 1 |
| 70 | 2 |
| 35 | 5 |
| 7 | 7 |
| 1 |
| 19 | 19 |
| 1 |
| 11 | 11 |
| 1 |
| 54 | 2 |
| 27 | 3 |
| 9 | 3 |
| 3 | 3 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 38 | = | 2 . 19 |
| Prime factors of 350 | = | 2 . 52 . 7 |
| Prime factors of 70 | = | 2 . 5 . 7 |
| Prime factors of 19 | = | 19 |
| Prime factors of 11 | = | 11 |
| Prime factors of 54 | = | 2 . 33 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: None
Common prime factors with the lowest exponent: None
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.
Since there are not common prime factors the GCF is 1
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