Calculate the Greatest Common Factor or GCF of 42, 48, 72 and 122
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The instructions to find the GCF of 42, 48, 72 and 122 are the next:
1. Decompose all numbers into prime factors
| 42 | 2 |
| 21 | 3 |
| 7 | 7 |
| 1 |
| 48 | 2 |
| 24 | 2 |
| 12 | 2 |
| 6 | 2 |
| 3 | 3 |
| 1 |
| 72 | 2 |
| 36 | 2 |
| 18 | 2 |
| 9 | 3 |
| 3 | 3 |
| 1 |
| 122 | 2 |
| 61 | 61 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 42 | = | 2 . 3 . 7 |
| Prime factors of 48 | = | 24 . 3 |
| Prime factors of 72 | = | 23 . 32 |
| Prime factors of 122 | = | 2 . 61 |
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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