Calculate the Greatest Common Factor or GCF of 1776 and 2076
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The instructions to find the GCF of 1776 and 2076 are the next:
1. Decompose all numbers into prime factors
| 1776 | 2 |
| 888 | 2 |
| 444 | 2 |
| 222 | 2 |
| 111 | 3 |
| 37 | 37 |
| 1 |
| 2076 | 2 |
| 1038 | 2 |
| 519 | 3 |
| 173 | 173 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 1776 | = | 24 . 3 . 37 |
| Prime factors of 2076 | = | 22 . 3 . 173 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3
Common prime factors with the lowest exponent: 22, 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 = 22. 31 = 12
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