Calculate the Greatest Common Factor or GCF of 72 and 3636
Sponsors
The instructions to find the GCF of 72 and 3636 are the next:
1. Decompose all numbers into prime factors
72 | 2 |
36 | 2 |
18 | 2 |
9 | 3 |
3 | 3 |
1 |
3636 | 2 |
1818 | 2 |
909 | 3 |
303 | 3 |
101 | 101 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 72 | = | 23 . 32 |
Prime factors of 3636 | = | 22 . 32 . 101 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3
Common prime factors with the lowest exponent: 22, 32
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. 32 = 36
Also calculates the: