Calculate the Greatest Common Factor or GCF of 484 and 528
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The instructions to find the GCF of 484 and 528 are the next:
1. Decompose all numbers into prime factors
484 | 2 |
242 | 2 |
121 | 11 |
11 | 11 |
1 |
528 | 2 |
264 | 2 |
132 | 2 |
66 | 2 |
33 | 3 |
11 | 11 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 484 | = | 22 . 112 |
Prime factors of 528 | = | 24 . 3 . 11 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 11
Common prime factors with the lowest exponent: 22, 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 = 22. 111 = 44
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