1. Rational Numbers
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6
The greatest common factor (GCF) is the greatest number that is a factor of two or more numbers. The first step for finding a GCF is to break down each number into its prime factors. We will write down all of the prime factors that are common between the given numbers.
| Given number | Prime Factorization | Common Prime Factors |
|---|---|---|
| 12 | 2* 2* 3 | 2, 2, 3 |
| 30 | 2* 3* 5 | 2, 3, 5 |
For the given numbers, the common prime factors are 2 and 3. The next step is to calculate the product of these factors. 2* 3 = 6 This means that the GCF for this pair of numbers is 6.