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Find the greatest common factor.Write your answer as a constant times a product of single variables raised to exponents.
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Q. Find the greatest common factor.Write your answer as a constant times a product of single variables raised to exponents.
- Find Prime Factorization: First, we need to find the prime factorization of the numbers without the variable .
- Consider Variable Part: Now, we consider the variable part of the expressions. Since both terms have the variable to the first power, we include in our consideration for the greatest common factor.
- Compare Prime Factorizations: We compare the prime factorizations of the numbers and the variable parts:The only common factor between the two expressions is the variable , since there are no common prime factors between and .
- Identify Greatest Common Factor: Therefore, the greatest common factor of and is .
