Consider the monomials 15 and 6 .
a. Factor the monomials.
b. What factors of these monomials are common factors?
c. Find the greatest common factor of 15 and 6 .
well,
15 = 3*5
6 = 3*2
...
Noah = Anonymous (of the previous 7 Anonymous math posts)
Please keep the same name for all your questions. Otherwise, you cannot find all your own questions later.
a. To factor a monomial, we need to find its prime factors.
The prime factorization of 15 is 3 × 5. Therefore, 15 can be factored as 3 × 5.
The prime factorization of 6 is 2 × 3. Therefore, 6 can be factored as 2 × 3.
b. To find common factors, we need to compare the prime factorizations of the given monomials.
The common factors of 15 and 6 are the factors that appear in both prime factorizations. Here, the common factor is 3.
c. To find the greatest common factor (GCF) of 15 and 6, we need to identify the largest common factor among them.
Since the common factor is 3, the GCF of 15 and 6 is 3.