Calculate the Greatest Common Factor or GCF of 224 and 366
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The instructions to find the GCF of 224 and 366 are the next:
1. Decompose all numbers into prime factors
224 | 2 |
112 | 2 |
56 | 2 |
28 | 2 |
14 | 2 |
7 | 7 |
1 |
366 | 2 |
183 | 3 |
61 | 61 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 224 | = | 25 . 7 |
Prime factors of 366 | = | 2 . 3 . 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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