Calculate the Greatest Common Factor or GCF of 10, 62, 100 and 130
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The instructions to find the GCF of 10, 62, 100 and 130 are the next:
1. Decompose all numbers into prime factors
10 | 2 |
5 | 5 |
1 |
62 | 2 |
31 | 31 |
1 |
100 | 2 |
50 | 2 |
25 | 5 |
5 | 5 |
1 |
130 | 2 |
65 | 5 |
13 | 13 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 10 | = | 2 . 5 |
Prime factors of 62 | = | 2 . 31 |
Prime factors of 100 | = | 22 . 52 |
Prime factors of 130 | = | 2 . 5 . 13 |
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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