Calculate the Greatest Common Factor or GCF of 19800
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The instructions to find the GCF of 19800 are the next:
1. Decompose all numbers into prime factors
19800 | 2 |
9900 | 2 |
4950 | 2 |
2475 | 3 |
825 | 3 |
275 | 5 |
55 | 5 |
11 | 11 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 19800 | = | 23 . 32 . 52 . 11 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3 , 5 , 11
Common prime factors with the lowest exponent: 23, 32, 52, 111
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 = 23. 32. 52. 111 = 19800
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