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Find the greatest common factor.\newline6r,4r6r, 4r\newlineWrite your answer as a constant times a product of single variables raised to exponents.\newline__\_\_

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Full solution

Q. Find the greatest common factor.\newline6r,4r6r, 4r\newlineWrite your answer as a constant times a product of single variables raised to exponents.\newline__\_\_
  1. Factorization of 6r6r: First find the complete factorization of 6r6r.6=2×36 = 2 \times 3r=rr = r6r=2×3×r6r = 2 \times 3 \times r
  2. Factorization of 4r4r: Now, find the complete factorization of 4r4r.4=2×24 = 2 \times 2r=rr = r4r=2×2×r4r = 2 \times 2 \times r
  3. Find Greatest Common Factor: We found:\newline6r=2×3×r6r = 2 \times 3 \times r\newline4r=2×2×r4r = 2 \times 2 \times r\newlineFind the greatest common factor of 6r6r and 4r4r.\newlineCommon factors are 22 and rr.\newline2×r=2r2 \times r = 2r\newlineGreatest common factor: 2r2r

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