Calculate the Greatest Common Factor or GCF of 274 and 1242
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The instructions to find the GCF of 274 and 1242 are the next:
1. Decompose all numbers into prime factors
274 | 2 |
137 | 137 |
1 |
1242 | 2 |
621 | 3 |
207 | 3 |
69 | 3 |
23 | 23 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 274 | = | 2 . 137 |
Prime factors of 1242 | = | 2 . 33 . 23 |
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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