Calculate the Greatest Common Factor or GCF of 42, 49, 56 and 63
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The instructions to find the GCF of 42, 49, 56 and 63 are the next:
1. Decompose all numbers into prime factors
| 42 | 2 |
| 21 | 3 |
| 7 | 7 |
| 1 |
| 49 | 7 |
| 7 | 7 |
| 1 |
| 56 | 2 |
| 28 | 2 |
| 14 | 2 |
| 7 | 7 |
| 1 |
| 63 | 3 |
| 21 | 3 |
| 7 | 7 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 42 | = | 2 . 3 . 7 |
| Prime factors of 49 | = | 72 |
| Prime factors of 56 | = | 23 . 7 |
| Prime factors of 63 | = | 32 . 7 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 7
Common prime factors with the lowest exponent: 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 = 71 = 7
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