Find the GCF of each pair of monomials. 30w, 70w
70w
NOPE!
GCF means greatest common factor
the GCF of 30w and 70w = 10w
To find the Greatest Common Factor (GCF) of two monomials, we need to find the largest factor that both monomials have in common.
Step 1: Write down the prime factorization of both monomials.
The prime factorization of 30w can be written as 2 * 3 * 5 * w.
The prime factorization of 70w can be written as 2 * 5 * 7 * w.
Step 2: Identify the common factors.
From the prime factorization, we can see that both monomials have the factors 2, 5, and w in common.
Step 3: Determine the GCF.
The GCF of 30w and 70w is the product of the common factors, which is 2 * 5 * w.
Therefore, the GCF of 30w and 70w is 10w.
To find the Greatest Common Factor (GCF) of the monomials 30w and 70w, we need to determine the largest term that divides evenly into both monomials.
Step 1: Write the prime factorization of each monomial:
30w = 2 * 3 * 5 * w
70w = 2 * 5 * 7 * w
Step 2: Identify the common factors between the two prime factorizations:
Common factors: 2, 5, w
Step 3: Multiply the common factors to find the GCF:
GCF = 2 * 5 * w
= 10w
Therefore, the GCF of 30w and 70w is 10w.