Calculate the Greatest Common Factor or GCF of 870
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The instructions to find the GCF of 870 are the next:
1. Decompose all numbers into prime factors
870 | 2 |
435 | 3 |
145 | 5 |
29 | 29 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 870 | = | 2 . 3 . 5 . 29 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3 , 5 , 29
Common prime factors with the lowest exponent: 21, 31, 51, 291
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. 31. 51. 291 = 870
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