Calculate the Greatest Common Factor or GCF of 2002 and 2618
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The instructions to find the GCF of 2002 and 2618 are the next:
1. Decompose all numbers into prime factors
2002 | 2 |
1001 | 7 |
143 | 11 |
13 | 13 |
1 |
2618 | 2 |
1309 | 7 |
187 | 11 |
17 | 17 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 2002 | = | 2 . 7 . 11 . 13 |
Prime factors of 2618 | = | 2 . 7 . 11 . 17 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 7 , 11
Common prime factors with the lowest exponent: 21, 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 = 21. 71. 111 = 154
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