Calculate the Greatest Common Factor or GCF of 49, 400 and 429
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The instructions to find the GCF of 49, 400 and 429 are the next:
1. Decompose all numbers into prime factors
49 | 7 |
7 | 7 |
1 |
400 | 2 |
200 | 2 |
100 | 2 |
50 | 2 |
25 | 5 |
5 | 5 |
1 |
429 | 3 |
143 | 11 |
13 | 13 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 49 | = | 72 |
Prime factors of 400 | = | 24 . 52 |
Prime factors of 429 | = | 3 . 11 . 13 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: None
Common prime factors with the lowest exponent: None
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.
Since there are not common prime factors the GCF is 1
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