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Greatest Common Factor

Calculate the Greatest Common Factor or GCF of 144, 256 and 324

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The instructions to find the GCF of 144, 256 and 324 are the next:

1. Decompose all numbers into prime factors

1442
722
362
182
93
33
1
2562
1282
642
322
162
82
42
22
1
3242
1622
813
273
93
33
1

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

Prime factors of 144=24 . 32
Prime factors of 256=28
Prime factors of 324=22 . 34

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2

Common prime factors with the lowest exponent: 22

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 = 22 = 4

Also calculates the:

Least Common Multiple or LCM of 144, 256 and 324

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