Calculate the Greatest Common Factor or GCF of 365 and 1000
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The instructions to find the GCF of 365 and 1000 are the next:
1. Decompose all numbers into prime factors
365 | 5 |
73 | 73 |
1 |
1000 | 2 |
500 | 2 |
250 | 2 |
125 | 5 |
25 | 5 |
5 | 5 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 365 | = | 5 . 73 |
Prime factors of 1000 | = | 23 . 53 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 5
Common prime factors with the lowest exponent: 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 = 51 = 5
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