Calculate the Greatest Common Factor or GCF of 25, 55, 70 and 100
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The instructions to find the GCF of 25, 55, 70 and 100 are the next:
1. Decompose all numbers into prime factors
25 | 5 |
5 | 5 |
1 |
55 | 5 |
11 | 11 |
1 |
70 | 2 |
35 | 5 |
7 | 7 |
1 |
100 | 2 |
50 | 2 |
25 | 5 |
5 | 5 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 25 | = | 52 |
Prime factors of 55 | = | 5 . 11 |
Prime factors of 70 | = | 2 . 5 . 7 |
Prime factors of 100 | = | 22 . 52 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 5
Common prime factors with the lowest exponent: 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 = 51 = 5
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