Find the GCF of 15qnt)+6 .(1 poi
To find the greatest common factor (GCF) of 15qnt and 6, we need to find the largest number that can evenly divide both 15qnt and 6.
First, let's break down the factors of 15qnt:
15qnt = 3 * 5 * q * n * t
Next, let's break down the factors of 6:
6 = 2 * 3
Now, let's identify the common factors between 15qnt and 6:
Common factors = 3
Therefore, the GCF of 15qnt and 6 is 3.
Find the GCF of 8d−20 .(1 point)
To find the greatest common factor (GCF) of 8d and -20, we need to find the largest number that can evenly divide both 8d and -20.
First, let's break down the factors of 8d:
8d = 2 * 2 * 2 * d
Next, let's break down the factors of -20:
-20 = -2 * 2 * 5
Now, let's identify the common factors between 8d and -20:
Common factors = 2
Therefore, the GCF of 8d and -20 is 2.
Factor 9z + 18 using the GCF.(1 point)
To factor 9z + 18 using the greatest common factor (GCF), we need to find the largest common factor between the two terms.
First, let's find the factors of 9z:
9z = 3 * 3 * z
Next, let's find the factors of 18:
18 = 2 * 3 * 3
Common factors = 3
Now, we can factor out the GCF of 3:
9z + 18 = 3(3z + 6)
Therefore, the factored form of 9z + 18 using the GCF is 3(3z + 6).
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Apologies for the mistake. Let's correct it.
To factor 9z + 18 using the greatest common factor (GCF), we need to find the largest common factor between the two terms.
First, let's find the factors of 9z:
9z = 3 * 3 * z
Next, let's find the factors of 18:
18 = 2 * 3 * 3
The common factors between 9z and 18 are 3 and 3.
So, the largest common factor is 3.
Now, let's factor out the GCF of 3 from 9z + 18:
9z + 18 = 3(3z + 6)
Therefore, the factored form of 9z + 18 using the GCF is 3(3z + 6).
Factor 16d − 12 using the GCF.(1 point)
To factor 16d − 12 using the greatest common factor (GCF), we need to find the largest common factor between the two terms.
First, let's find the factors of 16d:
16d = 2 * 2 * 2 * 2 * d
Next, let's find the factors of 12:
12 = 2 * 2 * 3
The common factors between 16d and 12 are 2 and 2.
So, the largest common factor is 2.
Now, let's factor out the GCF of 2 from 16d − 12:
16d − 12 = 2(8d − 6)
Therefore, the factored form of 16d − 12 using the GCF is 2(8d − 6).
To find the greatest common factor (GCF) of the given expression, 15qnt + 6, we need to look for the largest common factor among the terms.
Step 1: Identify the terms
The given expression, 15qnt + 6, has two terms: 15qnt and 6.
Step 2: Factorize each term
Let's start by factoring each term separately.
For 15qnt:
To factorize 15qnt, we need to find the prime factors of 15 (3 and 5) and the variable qnt.
For 6:
To factorize 6, we need to find the prime factors of 6 (2 and 3).
Step 3: Identify the common factors
Now, let's identify the common factors among the factored terms.
Common factors: 3, since both 15qnt and 6 have 3 as a factor.
Step 4: Determine the GCF
The greatest common factor (GCF) is the product of the common factors.
GCF = 3
Therefore, the GCF of 15qnt + 6 is 3.