Greatest Common Factor (GCF) of Monomials
Monomial A monomial is a polynomial with only one term. Greatest Common Factor of Monomials In order to find the Greatest Common Factor of a monomial, (1) first you must take each monomial and write it's prime factorization, (2) next, identify the common factors, (3) finally, multiply the common factors together. Problem #1 Find the greatest common factor: 9 x 2 , 6x 3 Step 1 Find the prime factorization of each monomial 9 x 2 = 3 · 3 · x · x 6x 3 = 2 · 3 · x · x · x Step 2 Identify the common factors: 3, x and x Step 3 Multiply the common factors together 3 · x · x = 3 x 2 Answer: The Greatest Common Factor is 3 x 2 Problem #2 Find the greatest common factor: 4 , 6x 2 Step 1 Find the prime factorization of each monomial 4 = 2 · 2 6x 2 = 2 · 3...