Calculate the Greatest Common Factor or GCF of 537 and 4365
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The instructions to find the GCF of 537 and 4365 are the next:
1. Decompose all numbers into prime factors
537 | 3 |
179 | 179 |
1 |
4365 | 3 |
1455 | 3 |
485 | 5 |
97 | 97 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 537 | = | 3 . 179 |
Prime factors of 4365 | = | 32 . 5 . 97 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 3
Common prime factors with the lowest exponent: 31
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 = 31 = 3
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