Calculate the Greatest Common Factor or GCF of 2 and 800
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The instructions to find the GCF of 2 and 800 are the next:
1. Decompose all numbers into prime factors
2 | 2 |
1 |
800 | 2 |
400 | 2 |
200 | 2 |
100 | 2 |
50 | 2 |
25 | 5 |
5 | 5 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 2 | = | 2 |
Prime factors of 800 | = | 25 . 52 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2
Common prime factors with the lowest exponent: 21
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 = 21 = 2
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