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Calculate the Greatest Common Factor or GCF of 18, 32, 46 and 63

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The instructions to find the GCF of 18, 32, 46 and 63 are the next:

1. Decompose all numbers into prime factors

182
93
33
1
322
162
82
42
22
1
462
2323
1
633
213
77
1

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

Prime factors of 18=2 . 32
Prime factors of 32=25
Prime factors of 46=2 . 23
Prime factors of 63=32 . 7

3. Choose the common prime factors with the lowest exponent

Common prime factors: None

Common prime factors with the lowest exponent: None

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.

Since there are not common prime factors the GCF is 1


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