Calculate the Greatest Common Factor or GCF of 1765 and 4400
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The instructions to find the GCF of 1765 and 4400 are the next:
1. Decompose all numbers into prime factors
1765 | 5 |
353 | 353 |
1 |
4400 | 2 |
2200 | 2 |
1100 | 2 |
550 | 2 |
275 | 5 |
55 | 5 |
11 | 11 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 1765 | = | 5 . 353 |
Prime factors of 4400 | = | 24 . 52 . 11 |
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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