Calculate the Greatest Common Factor or GCF of 160, 200 and 240
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The instructions to find the GCF of 160, 200 and 240 are the next:
1. Decompose all numbers into prime factors
160 | 2 |
80 | 2 |
40 | 2 |
20 | 2 |
10 | 2 |
5 | 5 |
1 |
200 | 2 |
100 | 2 |
50 | 2 |
25 | 5 |
5 | 5 |
1 |
240 | 2 |
120 | 2 |
60 | 2 |
30 | 2 |
15 | 3 |
5 | 5 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 160 | = | 25 . 5 |
Prime factors of 200 | = | 23 . 52 |
Prime factors of 240 | = | 24 . 3 . 5 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 5
Common prime factors with the lowest exponent: 23, 51
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. 51 = 40
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