1. Rational Numbers
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7
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. Notice that 7 is a prime number, which means it is its own prime factorization.
| Given number | Prime Factorization | Common Prime Factors |
|---|---|---|
| 7 | 7 | 7 |
| 28 | 2* 2* 7 | 2, 2, 7 |
For the given values, the only common prime factor is 7. This means that the GCF for this pair of numbers is 7.