Find the GCF of 15q plus 6

To find the greatest common factor (GCF) of 15q and 6, we need to find the highest common factor or divisor that can divide both numbers evenly.

First, let's factorize 15q and 6:

15q = 3 * 5 * q
6 = 2 * 3

Now, let's compare the factorizations and determine the common factors:

The common factors between 15q and 6 are 1 and 3.

Since we are looking for the GCF, the highest common factor is 3.

Therefore, the GCF of 15q and 6 is 3.

To find the greatest common factor (GCF) of 45g and 30h, we need to find the highest common factor or divisor that can divide both numbers evenly.

First, let's factorize 45g and 30h:

45g = 3 * 3 * 5 * g
30h = 2 * 3 * 5 * h

Now, let's compare the factorizations and determine the common factors:

The common factors between 45g and 30h are 3 and 5.

Since we are looking for the GCF, the highest common factor is 3 * 5 = 15.

Therefore, the GCF of 45g and 30h is 15.

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GCF if 8d-20

GCF if 45g+ 30h

Factor 9z + 18

Factor 16d-12

Factor 16d-12 using GCF

To factor 9z + 18, we need to find the greatest common factor (GCF) of the terms and then factor it out.

First, let's find the GCF of 9z and 18. Both terms are divisible by 9, so we can factor out 9:

9z + 18 = 9(z + 2)

Therefore, 9z + 18 is equal to 9 multiplied by the expression (z + 2), which is the factored form.

To factor 16d - 12 using the greatest common factor (GCF), we need to find the highest factor that can divide both terms evenly.

The GCF of 16d and 12 can be found by breaking down each term into their prime factors.

16d can be factored as: 2 * 2 * 2 * 2 * d
12 can be factored as: 2 * 2 * 3

Now, let's find the common factors between the two terms: 2 * 2 = 4.

Therefore, the greatest common factor is 4.

To factor out the GCF from 16d - 12, we divide each term by 4:

16d / 4 = 4d
12 / 4 = 3

Thus, the factored form of 16d - 12 using the GCF is: 4(4d - 3).