Calculate the Greatest Common Factor or GCF of 72 and 3444
Sponsors
The instructions to find the GCF of 72 and 3444 are the next:
1. Decompose all numbers into prime factors
72 | 2 |
36 | 2 |
18 | 2 |
9 | 3 |
3 | 3 |
1 |
3444 | 2 |
1722 | 2 |
861 | 3 |
287 | 7 |
41 | 41 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 72 | = | 23 . 32 |
Prime factors of 3444 | = | 22 . 3 . 7 . 41 |
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
Also calculates the: