Calculate the Greatest Common Factor or GCF of 3465
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The instructions to find the GCF of 3465 are the next:
1. Decompose all numbers into prime factors
3465 | 3 |
1155 | 3 |
385 | 5 |
77 | 7 |
11 | 11 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 3465 | = | 32 . 5 . 7 . 11 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 3 , 5 , 7 , 11
Common prime factors with the lowest exponent: 32, 51, 71, 111
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. 51. 71. 111 = 3465
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