Calculate the Greatest Common Factor or GCF of 32, 88, 98 and 120
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The instructions to find the GCF of 32, 88, 98 and 120 are the next:
1. Decompose all numbers into prime factors
32 | 2 |
16 | 2 |
8 | 2 |
4 | 2 |
2 | 2 |
1 |
88 | 2 |
44 | 2 |
22 | 2 |
11 | 11 |
1 |
98 | 2 |
49 | 7 |
7 | 7 |
1 |
120 | 2 |
60 | 2 |
30 | 2 |
15 | 3 |
5 | 5 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 32 | = | 25 |
Prime factors of 88 | = | 23 . 11 |
Prime factors of 98 | = | 2 . 72 |
Prime factors of 120 | = | 23 . 3 . 5 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2
Common prime factors with the lowest exponent: 21
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 = 2
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