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Find the greatest common factor.\newline4y,10y34y, 10y^3\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.\newline4y,10y34y, 10y^3\newlineWrite your answer as a constant times a product of single variables raised to exponents.\newline______
  1. Express Variables with Exponents: Now, we need to express the variables with their exponents.\newlineFor 4y4y, we have y1y^1 (since any variable without an explicit exponent has an exponent of 11).\newlineFor 10y310y^3, we have y3y^3.
  2. Find Common Factors: Next, we find the common factors between the two expressions. The common numerical factor is 22 (since both 44 and 1010 have a 22 in their prime factorization). The common variable factor is yy to the power of the smallest exponent, which is y1y^1.
  3. Multiply for GCF: Now, we multiply the common numerical factor by the common variable factor to get the greatest common factor (GCF).\newlineGCF = 2×y12 \times y^1\newlineGCF = 2y2y