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Calculate the Greatest Common Factor or GCF of 23520

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The instructions to find the GCF of 23520 are the next:

1. Decompose all numbers into prime factors

235202
117602
58802
29402
14702
7353
2455
497
77
1

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

Prime factors of 23520=25 . 3 . 5 . 72

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2 , 3 , 5 , 7

Common prime factors with the lowest exponent: 25, 31, 51, 72

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. 31. 51. 72 = 23520


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