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Find the greatest common factor.\newline8,2g28, 2g^2\newlineWrite your answer as a constant times a product of single variables raised to exponents.\newline______

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Q. Find the greatest common factor.\newline8,2g28, 2g^2\newlineWrite your answer as a constant times a product of single variables raised to exponents.\newline______
  1. Find Prime Factorization: First, find the prime factorization of the number 88. \newline8=2×48 = 2 \times 4\newline4=2×24 = 2 \times 2\newlineSo, 8=2×2×28 = 2 \times 2 \times 2
  2. Consider Variable Part: Next, find the prime factorization of the number 2g22g^2. Since 22 is already a prime number, we only need to consider the variable part. 2g2=2×g×g2g^2 = 2 \times g \times g
  3. Find Common Factors: Now, find the common factors between the two expressions.\newlineThe number 88 is factored as 2×2×22 \times 2 \times 2, and the number 2g22g^2 is factored as 2×g×g2 \times g \times g.\newlineThe common factor between them is just the number 22, since there are no common variable factors.
  4. Calculate Greatest Common Factor: The greatest common factor (GCF) is the product of all the common factors.\newlineIn this case, the GCF is just 22.