Questions: Find the greatest common factor for the list of terms. 70 x^5, 110 x^6, 60 x^8 The greatest common factor is .

Find the greatest common factor for the list of terms. 70 x^5, 110 x^6, 60 x^8 The greatest common factor is .
Transcript text: Find the greatest common factor for the list of terms. \[ 70 x^{5}, 110 x^{6}, 60 x^{8} \] The greatest common factor is $\square$ .
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Solution

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Solution Steps

Step 1: Find the GCF of the coefficients

To find the GCF of the coefficients [70, 110, 60], we use the Euclidean algorithm. The GCF of the coefficients is 10.

Step 2: Find the minimum exponent

The minimum exponent among [5, 6, 8] is 5.

Final Answer:

The GCF of the given terms is \( 10x^{5} \).

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