Calculate the Greatest Common Factor or GCF of 45, 48, 75 and 105
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The instructions to find the GCF of 45, 48, 75 and 105 are the next:
1. Decompose all numbers into prime factors
45 | 3 |
15 | 3 |
5 | 5 |
1 |
48 | 2 |
24 | 2 |
12 | 2 |
6 | 2 |
3 | 3 |
1 |
75 | 3 |
25 | 5 |
5 | 5 |
1 |
105 | 3 |
35 | 5 |
7 | 7 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 45 | = | 32 . 5 |
Prime factors of 48 | = | 24 . 3 |
Prime factors of 75 | = | 3 . 52 |
Prime factors of 105 | = | 3 . 5 . 7 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 3
Common prime factors with the lowest exponent: 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 = 31 = 3
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