Calculate the Greatest Common Factor or GCF of 240 and 1680
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The instructions to find the GCF of 240 and 1680 are the next:
1. Decompose all numbers into prime factors
240 | 2 |
120 | 2 |
60 | 2 |
30 | 2 |
15 | 3 |
5 | 5 |
1 |
1680 | 2 |
840 | 2 |
420 | 2 |
210 | 2 |
105 | 3 |
35 | 5 |
7 | 7 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 240 | = | 24 . 3 . 5 |
Prime factors of 1680 | = | 24 . 3 . 5 . 7 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3 , 5
Common prime factors with the lowest exponent: 24, 31, 51
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 = 24. 31. 51 = 240
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