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Greatest Common Factor

Calculate the Greatest Common Factor or GCF of 1152 and 2048

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The instructions to find the GCF of 1152 and 2048 are the next:

1. Decompose all numbers into prime factors

11522
5762
2882
1442
722
362
182
93
33
1
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 1152=27 . 32
Prime factors of 2048=211

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2

Common prime factors with the lowest exponent: 27

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 = 27 = 128

Also calculates the:

Least Common Multiple or LCM of 1152 and 2048

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