Calculate the Greatest Common Factor or GCF of 16, 320 and 500
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The instructions to find the GCF of 16, 320 and 500 are the next:
1. Decompose all numbers into prime factors
16 | 2 |
8 | 2 |
4 | 2 |
2 | 2 |
1 |
320 | 2 |
160 | 2 |
80 | 2 |
40 | 2 |
20 | 2 |
10 | 2 |
5 | 5 |
1 |
500 | 2 |
250 | 2 |
125 | 5 |
25 | 5 |
5 | 5 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 16 | = | 24 |
Prime factors of 320 | = | 26 . 5 |
Prime factors of 500 | = | 22 . 53 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2
Common prime factors with the lowest exponent: 22
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 = 4
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