Calculate the Greatest Common Factor or GCF of 1234 and 3456
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The instructions to find the GCF of 1234 and 3456 are the next:
1. Decompose all numbers into prime factors
1234 | 2 |
617 | 617 |
1 |
3456 | 2 |
1728 | 2 |
864 | 2 |
432 | 2 |
216 | 2 |
108 | 2 |
54 | 2 |
27 | 3 |
9 | 3 |
3 | 3 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 1234 | = | 2 . 617 |
Prime factors of 3456 | = | 27 . 33 |
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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