Calculate the Greatest Common Factor or GCF of 64, 96 and 224
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The instructions to find the GCF of 64, 96 and 224 are the next:
1. Decompose all numbers into prime factors
64 | 2 |
32 | 2 |
16 | 2 |
8 | 2 |
4 | 2 |
2 | 2 |
1 |
96 | 2 |
48 | 2 |
24 | 2 |
12 | 2 |
6 | 2 |
3 | 3 |
1 |
224 | 2 |
112 | 2 |
56 | 2 |
28 | 2 |
14 | 2 |
7 | 7 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 64 | = | 26 |
Prime factors of 96 | = | 25 . 3 |
Prime factors of 224 | = | 25 . 7 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2
Common prime factors with the lowest exponent: 25
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 = 25 = 32
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