Calculate the Greatest Common Factor or GCF of 26, 39 and 130
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The instructions to find the GCF of 26, 39 and 130 are the next:
1. Decompose all numbers into prime factors
26 | 2 |
13 | 13 |
1 |
39 | 3 |
13 | 13 |
1 |
130 | 2 |
65 | 5 |
13 | 13 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 26 | = | 2 . 13 |
Prime factors of 39 | = | 3 . 13 |
Prime factors of 130 | = | 2 . 5 . 13 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 13
Common prime factors with the lowest exponent: 131
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 = 131 = 13
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