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Greatest Common Factor

Calculate the Greatest Common Factor or GCF of 1728 and 4096

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The instructions to find the GCF of 1728 and 4096 are the next:

1. Decompose all numbers into prime factors

17282
8642
4322
2162
1082
542
273
93
33
1
40962
20482
10242
5122
2562
1282
642
322
162
82
42
22
1

2. Write all numbers as the product of its prime factors

Prime factors of 1728=26 . 33
Prime factors of 4096=212

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2

Common prime factors with the lowest exponent: 26

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 = 26 = 64

Also calculates the:

Least Common Multiple or LCM of 1728 and 4096

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