Calculate the Greatest Common Factor or GCF of 490
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The instructions to find the GCF of 490 are the next:
1. Decompose all numbers into prime factors
490 | 2 |
245 | 5 |
49 | 7 |
7 | 7 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 490 | = | 2 . 5 . 72 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 5 , 7
Common prime factors with the lowest exponent: 21, 51, 72
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. 51. 72 = 490
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