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Find the gireatest common factor.

8d,6d^(2)
Write your answer as a constant times a product of single variables raised to exponents.

Find the greatest common factor.\newline8d,6d28d, 6d^{2}\newlineWrite your answer as a constant times a product of single variables raised to exponents.

Full solution

Q. Find the greatest common factor.\newline8d,6d28d, 6d^{2}\newlineWrite your answer as a constant times a product of single variables raised to exponents.
  1. Factorize 8d8d: First, let's factorize 8d8d.8=2×2×28 = 2 \times 2 \times 2d=dd = dSo, 8d=2×2×2×d8d = 2 \times 2 \times 2 \times d
  2. Factorize 6d26d^2: Now, factorize 6d26d^2.6=2×36 = 2 \times 3d2=d×dd^2 = d \times dSo, 6d2=2×3×d×d6d^2 = 2 \times 3 \times d \times d
  3. Find common factor: Find the greatest common factor of 8d8d and 6d26d^2.\newlineCommon factors are 22 and dd.\newlineSo, 2×d=2d2 \times d = 2d