Q. Find the greatest common factor.8,2g2Write your answer as a constant times a product of single variables raised to exponents.______
Find Prime Factorization: First, find the prime factorization of the number 8. 8=2×44=2×2So, 8=2×2×2
Consider Variable Part: Next, find the prime factorization of the number 2g2. Since 2 is already a prime number, we only need to consider the variable part. 2g2=2×g×g
Find Common Factors: Now, find the common factors between the two expressions.The number 8 is factored as 2×2×2, and the number 2g2 is factored as 2×g×g.The common factor between them is just the number 2, since there are no common variable factors.
Calculate Greatest Common Factor: The greatest common factor (GCF) is the product of all the common factors.In this case, the GCF is just 2.