Calculate the Greatest Common Factor or GCF of 60, 140 and 260
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The instructions to find the GCF of 60, 140 and 260 are the next:
1. Decompose all numbers into prime factors
60 | 2 |
30 | 2 |
15 | 3 |
5 | 5 |
1 |
140 | 2 |
70 | 2 |
35 | 5 |
7 | 7 |
1 |
260 | 2 |
130 | 2 |
65 | 5 |
13 | 13 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 60 | = | 22 . 3 . 5 |
Prime factors of 140 | = | 22 . 5 . 7 |
Prime factors of 260 | = | 22 . 5 . 13 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 5
Common prime factors with the lowest exponent: 22, 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 = 22. 51 = 20
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