Calculate the Greatest Common Factor or GCF of 600 and 4705
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The instructions to find the GCF of 600 and 4705 are the next:
1. Decompose all numbers into prime factors
600 | 2 |
300 | 2 |
150 | 2 |
75 | 3 |
25 | 5 |
5 | 5 |
1 |
4705 | 5 |
941 | 941 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 600 | = | 23 . 3 . 52 |
Prime factors of 4705 | = | 5 . 941 |
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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