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Greatest Common Factor

Calculate the Greatest Common Factor or GCF of 1536 and 2304

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The instructions to find the GCF of 1536 and 2304 are the next:

1. Decompose all numbers into prime factors

15362
7682
3842
1922
962
482
242
122
62
33
1
23042
11522
5762
2882
1442
722
362
182
93
33
1

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

Prime factors of 1536=29 . 3
Prime factors of 2304=28 . 32

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2 , 3

Common prime factors with the lowest exponent: 28, 31

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 = 28. 31 = 768

Also calculates the:

Least Common Multiple or LCM of 1536 and 2304

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