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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.The prime factorization of is simply , since is a prime number.The prime factorization of is .
- Compare Common Factors: Now, we compare the prime factorizations to find the common factors. The number is the only common factor between the two numbers.
- Variable Exclusion: Since the variable is only present in one of the terms (), it cannot be part of the greatest common factor.
- Identify Greatest Common Factor: Therefore, the greatest common factor of and is the number .
