Calculate the Greatest Common Factor or GCF of 16, 24, 44 and 48
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The instructions to find the GCF of 16, 24, 44 and 48 are the next:
1. Decompose all numbers into prime factors
16 | 2 |
8 | 2 |
4 | 2 |
2 | 2 |
1 |
24 | 2 |
12 | 2 |
6 | 2 |
3 | 3 |
1 |
44 | 2 |
22 | 2 |
11 | 11 |
1 |
48 | 2 |
24 | 2 |
12 | 2 |
6 | 2 |
3 | 3 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 16 | = | 24 |
Prime factors of 24 | = | 23 . 3 |
Prime factors of 44 | = | 22 . 11 |
Prime factors of 48 | = | 24 . 3 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2
Common prime factors with the lowest exponent: 22
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 = 4
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