Questions: Find the GCF (greatest common factor) of the following terms. 35 x^2 y, 5 x^2 y

Transcript text: Find the GCF (greatest common factor) of the following terms. \[ \left\{35 x^{2} y, 5 x^{2} y\right\} \] Answer

Solution

Step 1: Identify the Coefficients' GCF

The GCF of the coefficients [35, 5] is 5.

Step 2: Identify the Minimum Exponent of \(x\)

The smallest exponent of \(x\) among all terms is 2.

Step 3: Identify the Minimum Exponent of \(y\)

The smallest exponent of \(y\) among all terms is 1.

Step 4: Construct the GCF

The GCF of the given terms is \( 5x^{2}y^{1} \).

The GCF of the given terms is \( 5x^2y^1 \).

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