# How do you find the greatest common factor of a^8b^4,a^4b^12?

${a}^{8} \cdot {b}^{4} = {a}^{4} \cdot {b}^{4} \cdot {a}^{4}$
${a}^{4} \cdot {b}^{12} = {a}^{4} \cdot {b}^{4} \cdot {b}^{8}$
Hence the gcd is ${a}^{4} \cdot {b}^{4}$