Calculate the Greatest Common Factor or GCF of 38 and 70
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The instructions to find the GCF of 38 and 70 are the next:
1. Decompose all numbers into prime factors
38 | 2 |
19 | 19 |
1 |
70 | 2 |
35 | 5 |
7 | 7 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 38 | = | 2 . 19 |
Prime factors of 70 | = | 2 . 5 . 7 |
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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