Problem
Find the GCF for the list. \[ 98 a^{7} b^{6} c^{3}, 28 a^{8} b \]
Solution
Step 1 ：Given the expressions \(98 a^{7} b^{6} c^{3}\) and \(28 a^{8} b\), we need to find the greatest common factor (GCF).
Step 2 ：The GCF of the numerical coefficients 98 and 28 is 14.
Step 3 ：For the variable \(a\), the minimum power in both expressions is 7.
Step 4 ：For the variable \(b\), the minimum power in both expressions is 1.
Step 5 ：The variable \(c\) only appears in the first expression, so it is not included in the GCF.
Step 6 ：Therefore, the GCF of the given expressions is \(14a^{7}b^{1}c^{0}\).
Step 7 ：Simplifying, we get the final answer as \(\boxed{14a^{7}b}\).
