Calculate the Greatest Common Factor or GCF of 420 and 1050
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The instructions to find the GCF of 420 and 1050 are the next:
1. Decompose all numbers into prime factors
| 420 | 2 |
| 210 | 2 |
| 105 | 3 |
| 35 | 5 |
| 7 | 7 |
| 1 |
| 1050 | 2 |
| 525 | 3 |
| 175 | 5 |
| 35 | 5 |
| 7 | 7 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 420 | = | 22 . 3 . 5 . 7 |
| Prime factors of 1050 | = | 2 . 3 . 52 . 7 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3 , 5 , 7
Common prime factors with the lowest exponent: 21, 31, 51, 71
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. 71 = 210
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