Calculate the Greatest Common Factor or GCF of 972
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The instructions to find the GCF of 972 are the next:
1. Decompose all numbers into prime factors
972 | 2 |
486 | 2 |
243 | 3 |
81 | 3 |
27 | 3 |
9 | 3 |
3 | 3 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 972 | = | 22 . 35 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3
Common prime factors with the lowest exponent: 22, 35
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. 35 = 972
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