Q. Find the greatest common factor.6f,3f2Write your answer as a constant times a product of single variables raised to exponents.______
Find Prime Factorization: First, let's find the prime factorization of the numerical coefficients of both terms.6=2×33=3
Consider Variable Part: Now, let's consider the variable part of both terms.For 6f, we have a single f, which is f1.For 3f2, we have f2.
Find Common Factors: Next, we find the common factors between the two terms.The common numerical factor is 3.The common variable factor is f to the power of the smallest exponent, which is f1.
Multiply Common Factors: Multiplying the common numerical and variable factors gives us the greatest common factor (GCF).GCF = 3×f1GCF = 3f