Calculate the Greatest Common Factor or GCF of 10, 40, 26 and 2
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The instructions to find the GCF of 10, 40, 26 and 2 are the next:
1. Decompose all numbers into prime factors
10 | 2 |
5 | 5 |
1 |
40 | 2 |
20 | 2 |
10 | 2 |
5 | 5 |
1 |
26 | 2 |
13 | 13 |
1 |
2 | 2 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 10 | = | 2 . 5 |
Prime factors of 40 | = | 23 . 5 |
Prime factors of 26 | = | 2 . 13 |
Prime factors of 2 | = | 2 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2
Common prime factors with the lowest exponent: 21
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 = 21 = 2
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