GCF 12x2y3, 8xy2

Question

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Answer 1

Greatest common factor is greatest number that divides both the numbers without a remainder.

The terms are 12x ^2y ^3 and 8x y ^2

Break down each term in to prime factors.

12x ^2y ^3 = 2 * 3 * 2 * x * x * y * y * y

8x y ^2 = 2 * 2 * 2 * x * y * y

Common factors are 2 * 2 * x * y * y

Greatest common factor of  12x ^2y ^3 , 8x y ^2  is  4x y ^2.

Answer 2

The GCF is the product of the common prime factors in each number.

Factor each monomial and Circle the common prime factors.

The product of common prime factors, 2 • 2 • x • y • y or 4xy² is called the greatest common factor of 12x²y³ and 8xy².