Calculate the Greatest Common Factor or GCF of 32 and 1024
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The instructions to find the GCF of 32 and 1024 are the next:
1. Decompose all numbers into prime factors
32 | 2 |
16 | 2 |
8 | 2 |
4 | 2 |
2 | 2 |
1 |
1024 | 2 |
512 | 2 |
256 | 2 |
128 | 2 |
64 | 2 |
32 | 2 |
16 | 2 |
8 | 2 |
4 | 2 |
2 | 2 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 32 | = | 25 |
Prime factors of 1024 | = | 210 |
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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