Find the GCF of each pair of monomial of 8ab³ and 10a²b²?

Answer 1

To find the GCF of each pair of monomial of 8ab³ and 10a²b², we can use the following steps:

• Write the complete factorization of each monomial, including the constants and the variables with their exponents.

• 8ab³ = 2 ⋅ 2 ⋅ 2 ⋅ a ⋅ b ⋅ b ⋅ b

• 10a²b² = 2 ⋅ 5 ⋅ a ⋅ a ⋅ b ⋅ b

• Identify the common factors in both monomials. These are the factors that appear in both factorizations with the same or lower exponent.

• The common factors are: 2, a, and b²

• Multiply the common factors to get the GCF.

• GCF = 2 ⋅ a ⋅ b² = 2ab²