Calculate the Greatest Common Factor or GCF of 72 and 3584
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The instructions to find the GCF of 72 and 3584 are the next:
1. Decompose all numbers into prime factors
72 | 2 |
36 | 2 |
18 | 2 |
9 | 3 |
3 | 3 |
1 |
3584 | 2 |
1792 | 2 |
896 | 2 |
448 | 2 |
224 | 2 |
112 | 2 |
56 | 2 |
28 | 2 |
14 | 2 |
7 | 7 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 72 | = | 23 . 32 |
Prime factors of 3584 | = | 29 . 7 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2
Common prime factors with the lowest exponent: 23
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 = 23 = 8
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