Find the greatest common factors of the monomials 14x2y3,21x2y2,35x4y5z.

Find the greatest common factors of the monomials $14 x^{2} y^{3}, 21 x^{2} y^{2}, 35 x^{4} y^{5} z .$

Match the items on the right to the items on the left.

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Step 7

The numerical coeffecients of the given monomials are 14,21 and 35.

The greatest common factor of 14,21 and 35 is 7.

The common literals appearing in the three monomials are x and y.

The smallest power of 'x' in the three monomials =2

The smallest power of 'y' in the three monomials =2

The monomial of common literals with smallest powers=

x^{2} y^{2}

Hence, the greatest common factor = 7

x^{2} y^{2}