Question

find HCF of 96,120 and 144

Answer 1

Answer:

Prime factors of 96 =

${2}^{5} \times 3$

Prime factors of 120 =

${2}^{3} \times 3 \times 5$

Prime factors of 144 =

${2}^{4} \times {3}^{2}$

Common prime factors: 2 , 3

Common prime factors with the lowest exponent:

${2}^{3} \times {3}^{1}$

Remember, to find the GCF of several numbers you must multiply the common prime factors with the lowest exponent.

GCF =

${2}^{3} \times {3}^{1} = 24$