Calculate the Greatest Common Factor or GCF of 441 and 1008
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The instructions to find the GCF of 441 and 1008 are the next:
1. Decompose all numbers into prime factors
441 | 3 |
147 | 3 |
49 | 7 |
7 | 7 |
1 |
1008 | 2 |
504 | 2 |
252 | 2 |
126 | 2 |
63 | 3 |
21 | 3 |
7 | 7 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 441 | = | 32 . 72 |
Prime factors of 1008 | = | 24 . 32 . 7 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 3 , 7
Common prime factors with the lowest exponent: 32, 71
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 = 32. 71 = 63
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