Calculate the Greatest Common Factor or GCF of 72 and 3360
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The instructions to find the GCF of 72 and 3360 are the next:
1. Decompose all numbers into prime factors
72 | 2 |
36 | 2 |
18 | 2 |
9 | 3 |
3 | 3 |
1 |
3360 | 2 |
1680 | 2 |
840 | 2 |
420 | 2 |
210 | 2 |
105 | 3 |
35 | 5 |
7 | 7 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 72 | = | 23 . 32 |
Prime factors of 3360 | = | 25 . 3 . 5 . 7 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3
Common prime factors with the lowest exponent: 23, 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 = 23. 31 = 24
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